Austin TX? within hours of Texas World speedway, motorsports ranch in Dallas. it does get a little hot though, but there are so many lakes/rivers and greenery in the area that sometimes you dont notice it as much as you do in San Antonio or Houston.
Colorado Springs is very nice, home of NORAD. Pikes Peak, and its associated races. it gets cold there, it snows, but its not that bad. hours from the slopes and Denver. its a nice place, I considered moving there once.
Charlottesville Virginia? I cant tell you much about it but was very impressed the few times I've been. Historic, Beautiful
thats all I've got, there are several nice places to live in this country, a lot of them have very enjoyable moderate climates..but you might have to forgo some of the things on your list.