The OP is looking, and I hope gathering information that may show she needs to change some of the requirements on her list to ‘hopes’ or ‘desires’. There are a lot of those ‘Unicorns’ out west - South Dakota School of Mines, U of Utah, Wyoming, Montana, so if the location can change, there are more options. There are some small schools trying to recover or grow that want high stats kids like Sweet Briar or Converse and will offer high merit awards to attract them.
I think a mistake some people make is not looking at their instate schools, public or private. Sometimes there are awards that can only be used instate. Going instate saves on travel costs and may save on room and board. ‘Sleep away college’ is a luxury that not everyone can afford.