This would never catch on and I am sure money would be the main reason, but I think it could work to move the entire state tournament, even the quarter-finals, to Charlottesville. First of all, it is about as centrally located as you can get in the state. Yes, there would still be some schools that would have a 4-5 hour trip (Eastern Shore and far Southwest corner) but those folks are always going to have long trips.
Now here is what makes my idea feasible, at least to my pea-sized brain. The tournament could be stretched out to two weeks if need be. There are four facilities that I can think of in the Greater Charlottesville area that could be utilized. There is of course JPJ. Then there is U-Hall, which I presume can still be used for basketball. And there are two larger than average high school gyms within 15 miles that could be used as well...Monticello and Western Albemarle. Each still hosts regional action these days. Never having been to either Albemarle or Charlottesville High Schools, I don't know if they could help out or not.
With that many facilities and some creative planning, it could be done, even including the girls in all six divisions. Of course the fact that I live 30 miles from Charlottesville has NOTHING to do with the appeal of this idea! (Wink wink!)