First Time Post - Several Questions - Take Your Pick!

Note that some of the Ivy League schools and highly selective LACs have exceptionally good need-based financial aid, so you may want to run net price calculators on a selection of somewhat less selective private schools to avoid the possibility of a nasty financial aid surprise at other schools if you assume that the financial aid from an Ivy League school or highly selective LAC is representative of what private schools offer.

Also, if the out-of-state flagship you tried is in VA, NC, or possibly MI, its financial aid is probably significantly better than that of other out-of-state flagships. However, some out-of-state flagships may have significantly lower list prices than others, or private schools.