I have a 365BHS too, but here in Canada AC isn't an issue. We just got back from two weeks in the Maritimes (New Brunswick, Prince Edward Island, & Nova Scotia), and we had the furnace on at night.
Perfect camping weather.
2012 Jayco Eagle 365BHS
2012 Silverado 2500HD CC Z71 Duramax/Allison
Curt Q20 Hitch with Roller
Firestone Ride-Rite Air Springs