Correct on all accounts.
I don't think you can see any of the trails on Doe from 67 (but maybe you can in some spots). You can see the prison from the Doe Mtn. fire tower. None (or almost none) of the OHV area is directly on Hwy 67. The official entrance & parking lot is on Harbin Hill Rd.
Are you still looking for a mountain cabin? There's a nice one for sale on Seasons Dr. (at the intersection of Bulldog Rd/Beaver Dam, and North Fork Rd.) It's surrounded by great trails & roads. Not too fancy, but not too shabby, no idea of the asking price.