I’m going to be less practical 
and just throw out schools you may want to research. When we did our tour, we planned our route based on the schools we wanted to visit and zig-zagged when necessary, as much as our time would allow.
VA: Hollins (HWC)
I know that Roanoke and Hollins are known for solid academics and good supports for kids who need it.
NC: Wake as a realistic reach.
SC: Wofford, Converse (formerly a women’s college), Furman
I agree with others about discussing these with your private school college counselor as they will have a better sense of the best fits for your D. I also suggest asking this in the 3.0-3.4 GPA threads. Edit: There is a lot a friendly participation there from parents of kids with higher GPAs.
Parents of the HS Class of 2024 3.0-3.4
Parents of the HS Class of 2023 3.0-3.4
Edit: I agree with tsb to not rule out visiting schools simply because they are reaches. Of course, there is only so much time so there will be decisions to make for this trip. Some of the VA schools may be possible on a shorter trip later.