Thanks, all. 
We think there is no unicorn school so it’s a matter of what comes closest. It’s true, @Mwfan1921, that DS does not see UA as an ideal personality fit. He does understand that free is good and he’s a bloom-where-planted type. I’m hopeful some of the TE will come through, and otherwise merit or OOS waiver or something else will help.
EFC is consistently full-price and I do not expect need-based aid anywhere, though I’d love to be pleasantly surprised. Having our three kids exactly four grades apart each didn’t help for FA purposes. The EFC is often beyond what seems reasonable on our budget with two more kids in the queue. Thanks again for the leads, and TIA for any more.