William and Mary (public) as well as URIchmond (private) also have fine business schools. I know VTech (public) has a b-school as well but I’m not personally familiar with it.
And a very quick google search will get you information on the UVA b-school application process. I’m sure you can find more information if you do a bit of research.
https://www.commerce.virginia.edu/undergrad/application-process-uva