Seconding the Virginia publics, and also would suggest considering Richard Bland as a safety, at which he could complete his second year and then transfer to William & Mary, UVA, etc. Additionally, Virginia Tech, VCU, and George Mason were all spotlighted on this page about transfer student success programs.
Another nearby option that was noted for its transferring programs is American (source). Within driving distance, Appalachian State has also been noted for its transfer support program (source).
Saint Joseph’s in Philadelphia has a reputation for being a welcoming environment for transfer students.
Some other schools that have a reputation for having more transfers (or higher transfer acceptance rates) are BU, Emory, UNC - Chapel Hill (though I don’t know how many of their acceptances are from NC community colleges with agreements).
This site has transfer acceptance rates for a number of the Top X colleges. I’m not sure what you consider “driving distance”, but Northwestern, Notre Dame, and Vanderbilt could potentially fall within a long day’s drive.