But there's gotta be a school with a wrestling program nearby to host though. That's the way it goes for all NCAA Championships outside of the Final Four.
Chattanooga is a stretch for Nashville (too far to host), Charlotte is probably a stretch for the Triangle ACC schools for the same reason. I don't think there's much around PNC Arena in Raleigh (kind of similar to Philly where it's all parking lot and the football stadium nearby, a sports complex).
I think D.C. is doable with George Mason, American, Maryland and Navy all in the area. The arena is downtown as well.
If you want warm weather, an outside the box idea would be Phoenix with Arizona State hosting.