I only mentioned the MUT places, because there really aren't any places like you describe around here. I *have* ridden in state parks on group rides. One is in NE MA, and the roads were horrible. Frost heaves, pot holes, etc. The other was in Plymouth, where the roads were marginally better. I suppose I might ride in the second one if I lived near there, as there were no cars. Good hills, though. But, both are known more for the mountain bike trails.
I live in "country" suburbia and I only have to ride about 8 miles to get into rural areas. I think I am spoiled. In fact, I know I am, because whenever I travel and ride other places, I am not that impressed.