Question: Which trail about 3000 mi long and established in 1912, was in direct competition with Pikes Peak Ocean to Ocean Highway?

Context paragraphs:
Pikes Peak International Hill Climb: The Pikes Peak International Hill Climb (PPIHC), also known as The Race to the Clouds, is an annual automobile and motorcycle hillclimb to the summit of Pikes Peak in Colorado, USA.  The track measures 12.42 mi over 156 turns, climbing 4720 ft from the start at Mile 7 on Pikes Peak Highway, to the finish at 14110 ft , on grades averaging 7.2%.  It used to consist of both gravel and paved sections, however as of August 2011, the highway is fully paved and as a result all subsequent runnings will be on asphalt from start to finish.

Pikes Peak Highway: The Pikes Peak Highway is a 19 mi toll road that runs from Cascade, Colorado to the summit of Pikes Peak in El Paso County, at an altitude of 14115 ft .  It is at least partially open year-round, "weather permitting", "i.e." open up to the altitude where snow removal becomes excessively difficult.

Pikes Peak Ocean to Ocean Highway: Pikes Peak Ocean to Ocean Highway was an early coast-to-coast highway in the United States.  Begun early in 1912 the route went from New York City to Los Angeles.  It was in direct competition with the Lincoln Highway and the National Old Trails Road.  It route markers were marked PP-OO.

National Old Trails Road: National Old Trails Road, also known as the Ocean-to-Ocean Highway, was established in 1912, and became part of the National Auto Trail system in the United States.  It was 3096 mi long and stretched from Baltimore, Maryland (some old maps indicate New York City was the actual eastern terminus), to California.  Much of the route follows the old National Road and the Santa Fe Trail.

Iowa Highway 340: Iowa Highway 340 (Iowa 340) connected U.S. Highway 18 Business (US 18 Bus.)  in McGregor to Pikes Peak State Park.  It was designated in 1936 to connect Pikes Peak State Park to the primary highway system, which it did until it was turned over to Clayton County in 2003.  It was turned over along with 700 miles of other short highways that primarily served local traffic.  It was mostly replaced by County Road X56.  Aside from a short connector to the state park gate, the route was a part of the Great River Road.

Manitou and Pike's Peak Railway: The Broadmoor Pikes Peak Cog Railway (also known as the Pikes Peak Cog Railway) is an Abt rack system cog railway with track in Colorado, USA, climbing the well-known mountain Pikes Peak.  The base station is in Manitou Springs, Colorado near Colorado Springs.

Manitou Springs, Colorado: The city of Manitou Springs is a home rule municipality located in El Paso County, Colorado, United States.  The town was founded for its scenic setting and natural mineral springs.  The downtown area continues to be of interest to travelers, particularly in the summer, as the downtown area consists of many one-story, adjoining, small shops, restaurants, and pubs, as well as a creekside city park with a children's playground made from unusual materials.  Among other services, shops cater to tourist interests such as clothing, candy, souvenirs, and outdoor recreation.  The main road through the center of town was one of the direct paths to the base of Pikes Peak.  Barr Trail, which winds its way up Pikes Peak, is easily accessible from town.  The subdivision Crystal Hills was added to the municipality in the 1960s.

Barr Trail: Barr Trail is a 13 mi trail in the Pike National Forest that begins in Manitou Springs, Colorado and ends at the Pikes Peak summit.  The high elevation trail with a long sustained grade is rated more difficult by the U.S. Forest Service.  With a 7,800 ft elevation gain to reach the summit, the Colorado Springs Convention & Visitors Bureau states that it is an advanced trail and is the most difficult trail in the Pikes Peak region.

Pikes Peak Center for the Performing Arts: The Pikes Peak Center for the Performing Arts (known commonly as Pikes Peak Center) is a concert auditorium in Colorado Springs, Colorado.  It serves as an entertainment, cultural, educational, and assembly center for the citizens of El Paso County, the Pikes Peak region, and the surrounding area.

Old Colorado City Branch Carnegie Library: The Old Colorado City Library is a currently operating branch library of the Pikes Peak Library District.  It is housed in a 1904 Carnegie Library that has been in continuous service as a library since opening December 7, 1904.  The library is located at 2418 West Pikes Peak Avenue, Colorado Springs, Colorado, 80904, in the historic district of Old Colorado City.  Current hours of operation, policies, and programming can be found through the Pikes Peak Library District website.

Supporting paragraphs: Pikes Peak Ocean to Ocean Highway National Old Trails Road
Answer: National Old Trails Road