Good luck!. For that bit of water you might add in a quality radar system and chart plotter. With all the fog, ledges, crab pots, and confusing buoys you might want figure in the cost of hiring Mainesail as a guide just to keep you out of trouble.
Seriously, a Tartan 34-1 might fit the bill. Pretty close to your price range. The prices vary a lot with condition. Diesel might be hard to find. Some have wheels. Here is a nice one. Tartan 34C Sailboat For Sale