We're hoping to FIRE to Florida, but currently live in what may be your perfect spot! (Disclaimer: I was born, raised, attended college, and now work here. I'm possibly biased.)
Blacksburg, Virginia, home of Virginia Tech, hits pretty much everything on your list!
Housing might be a tad more to live in the B'burg town limits, but think 240k-260k depending on fixtures, paint, yard space. etc.
Outdoor lifestyle can't be beat! We have beautiful mountains with tons of fantastic hikes. Waterfalls, lakes, the New River (actually one of the oldest in the world!), ponds, and tons of nature.
We've got a big medical center right in town, then a larger one about 20-30 minutes away in Radford. There's also a huge Medical Center in Roanoke (about 45 minutes).
Landscape: we're in the mountains, but Blacksburg is actually on a plateau so there are plenty of rolling hills and pastures, with the Blue Ridge Mountains all around.
Climate: we have 4 distinct seasons. Winters are not terrible, but mid-November-Jan can get pretty grey. Yesterday was mid-60s, but tomorrow we're expecting 3 inches of snow. Fall is GORGEOUS. Summer and Spring are nice, too! It can get hot, but not overwhelming.
Transportation: because of the university we have an awesome bus system called the BT (Blacksburg Transit). It's also very biker friendly and we've steadily been increasing the miles of trails. My husband and I are down to one car.
College: only the best ever! Go Hokies!!! :) We attend sporting events (all of which are free except for football & basketball), concerts, and tons of other university sponsored events. There is a great on-campus library and a great regional library, too! We have a renovated old-timey theatre downtown (The Lyric) that is only $5. Right now they're running a special with some of the downtown restaurants: spend $10 on food, get a free Lyric ticket. I'm going with folks tonight to see The Big Short.
Like I said, I've lived here my whole life, so I can't compare it, but I can definitely answer any questions!