UVA does meet full need for all students as long as you meet the March 1 deadline for filing FAFSA and CSS…did you make that? https://www.virginia.edu/life/affordinguva
Did your run their NPC prior to applying? If what they offered is a higher COA than the NPC that could be something to discuss.
Beyond that it’s hard to make recommendations without the net COA of each school, and the breakdown of need based aid vs merit aid for each, as appropriate. Admissions handles the merit aid piece, Financial aid the need based piece. Because time is short I suggest picking up the phone and calling.