Date: 201909
Local time of day: 0601-1200
Location: ZZZ.Airport, US
Flight conditions: VMC
Light: Daylight
Aircraft: Super King Air 300
Operator: Corporate
Operating under: Part 91
Flight plan: IFR
Mission: Ferry / Re-Positioning
Flight phase: Taxi
ATC / advisory: Ground ZZZ
Reporter organization: Corporate
Reporter function: Captain; Pilot Flying
Reporter qualification: Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Flight Instructor
Human factors: Workload; Distraction; Situational Awareness; Time Pressure; Confusion
Second reporter function: First Officer; Pilot Not Flying
Anomaly: Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Taxiway
Detector: Person Air Traffic Control
When detected: Taxi
Result: Air Traffic Control Issued Advisory / Alert; Air Traffic Control Issued New Clearance; Flight Crew Returned To Clearance; Flight Crew Became Reoriented
Contributing factors: Human Factors; Airport
Primary problem: Human Factors

Narrative: The following events occurred while taxiing for a Part 91 repositioning flight from ZZZ (where the aircraft had undergone maintenance in the [Company] hangar) to ZZZ1. Our original destination; ZZZ2; was an EOD (Extended Overrun Distance) field requiring 80% landing numbers and a dry runway. Since the destination runway was wet we received alternate routing to ZZZ1. This change happened after our show-time; which delayed our routine a bit. We briefed that although we would be delayed; we would proceed in a deliberate; professional manner and ensure no corners were cut. Unfortunately a complex & unfamiliar taxiway scheme coupled with frequency congestion and a wasp in the cockpit all led to a potential runway incursion incident.We were at [FBO] ZZZ1. We received instructions to 'Taxi to Runway XXR via [Taxiway] X; Y; cross Runway XYC hold-short XYR'. We consulted the airport diagram and briefed the taxi route. I exited the [Company] ramp and turned left to taxi northbound on [Taxiway] X. We soon encountered an unexpected hold-short line crossing our path; and determined it was for Runway XYL which did not actually cross our taxi route ([Taxiway] X does not intersect Runway XYL). I considered stopping and querying but ground frequency was congested; the crew agreed we were cleared by ATC to proceed. I switched on strobes and increased taxi speed to get clear of the Runway XYL extended centerline area.As Taxiway X crosses the extended centerline of Runway XYL; the pavement widens. While were in this area a wasp flew up from between my legs and buzzed in front of my face. I inadvertently went to the left side of the wide taxiway while my attention was diverted by the wasp. I could have stopped to sort it out but we were actually fouling the departure end of Runway XYL so I pressed on. Ignoring the wasp I proceeded across Runway XYC as cleared; to hold short of Runway XYR. I saw pavement markings showing that I was about to cross Runway XYC for Runway XYR. What I did not see were any markings showing that the left side of Taxiway X leads to Taxiway Y; not Z.On the airport diagram there is a big space between Runway XYC and XYR; and if you are on [Taxiway] Z this space is indeed quite large. But if you are on [Taxiway] Y; there is a very short space between the hold shorts for the two runways. I was trying to quickly cross Runway XYC when I sensed something wasn't correct; and glanced to the airport diagram to get my situational awareness back. Unfortunately when I did that I inadvertently crossed the hold short for Runway XYR while taxiing on [Taxiway] Y. I stopped the airplane well away from the actual runway; but on [Taxiway] Y; the hold short from Runway XYR is very displaced from the actual runway.The Ground Controller was engaged in a lengthy conversation with another aircraft. I was attempting to turn around when the Controller finished his conversation with the other pilot and said '[Aircraft X] you took [Taxiway] Y instead of [Taxiway] Z; enter Runway XYR and back-taxi to [Taxiway] Z; and continue to hold short Runway XXR'. We followed these instructions and departed without further issues.There was no indication that ATC was calling this a runway incursion; but looking at the airport diagram I am convinced we were past the hold short line for Runway XYR. Even if ATC does not report this as an incursion I want to call attention to the potential for confusion with the hold short markings at the departure end of Runways XYL/C/R and Taxiways Y and Z at ZZZ.I was trained as a primary student to speed up when crossing a runway to reduce the potential for conflict with traffic and make ATC's job easier. My practice has always been to switch on the strobes and add power. This event is making me rethink the idea of speeding up to cross a runway; especially if the crew is unfamiliar with the airport. As you clear the runway at higher speed; there may be surprises lying in wait! Once ATC clears you to cross aparticular part of the airport it is their responsibility to keep other aircraft out of that area; no need to rush and if something happens (like a wasp or loss of situational awareness); the best thing to do is stop the airplane and announce as frequency congestion allows.Another link in the chain was the late change in routing. I had reviewed the flight the day before and seen that ZZZ2 only allowed landing on Runway XX but the winds were forecast from the south; and precipitation was expected at an airport we'd need to be dry. I discussed this with [Company] Operations and was advised that we'd probably offer the members a pickup at ZZZ3. I filed a flight plan for ZZZ2 with ZZZ3 as an alternate; as well as a stand-alone flight plan to ZZZ3. Well in advance; [Company] Operations advised [Company] that we would probably not be able to land at ZZZ2; but the decision was withheld until close to departure time. I allowed the delays caused by replanning the mission to rush my other procedures a bit and despite briefing that we would move at a professional deliberate pace I allowed the perceived delay to prevent me from noticing or briefing all the potential hotspots along the taxi route.Lastly; we may want to see if there is a wasp nest in the [Company] maintenance hangar at ZZZ and take steps to mitigate. It took me a few seconds to get over my aversion to stinging insects and that did contribute a loss of situational awareness. Also; I don't think passengers would be pleased by seeing a wasp in the cockpit or cabin as they settle in for a flight.


Second narrative: [Report narrative contained no additional information.]


Synopsis: BE300 pilot reported unfamiliarity and distraction during taxi; resulting in an inadvertent deviation from taxi clearance.