We enjoyed our stay at Claudio's place! It's the entire second floor of his home with a separate, private entrance.
His place is about a 15 minute walk from the modern town of Akrotiri. It's also near to Red Beach and the site of ancient Akrotiri (which is really cool), and very near two ATV rentals (which ppl drive on even the main roads of the main cities) and bus stops to and from Fira (~20 minutes to get there via bus or ATV). He also set us up with a cab ride from the port, which was 35 euro.
The place was clean, bright, and breezy, and after Claudio showed us the place we were on our own to do our own thing. I appreciated being outside the craziness of Fira and Oia and on the calmer side of the island. :-)