…though my D23 got much better aid from Vassar than from Oberlin
For the OP, my kids (S21 and D23) were looking for something similar to what you describe. Those we visited in the Northeast that have higher acceptance rates than Vassar (especially compared to Vassar for women) that one or the other liked were Mt. Holyoke, Bryn Mawr, Clark, Wheaton, and Dickinson. Skidmore was on the list but didn’t visit.
ETA - there were lots of others they liked, but I focused here on schools in the northeast that were also schools with higher acceptance rates than Vassar’s acceptance rate for women. Be aware that some of these schools are need aware in admissions so don’t count on higher acceptance rates necessarily translating into better acceptance odds for your D…many factors that go into the admissions decisions and financial need can be one of them).