Rejected from Brown: UVA vs. Binghamton vs. Gap Year or Transfer

WHo they travel with has no bearing on Op’s choice.
Either OP can learn to like UVA (which may be very different from Brown but could be an excellent choice too, due to academic rigor and horses, two of OP’s factors) or s/he can take a gap year to apply to a suitable list of schools s/he’ll craft him/herself.