So the good news is I believe Maryland actually fits your criteria. Maybe the others even more so in some ways, but Maryland is a great choice too, and a real bargain at in-state rates.
And if med school is even a strong possibility–I have a hard time recommending paying a lot more for a private as opposed to conserving those family resources for med school.
I am also skeptical this is really an important consideration in your case:
I think the concept of an “ED bump” is often overstated. Colleges have no reason to give an automatic “bump” to everyone who applies ED. There are some specific cases that might make sense for colleges, but they have no particular reason to treat all cases like that.
So one possible case is hooked applicants like recruited athletes, where coaches want to know they have filled certain team needs.
Another is MAYBE sometimes a college thinks its odds of a highly qualified applicant actually taking their offer are so low, it will waitlist or reject them RD. But then if that applicant applies ED, it will happily accept them because now they can’t go anywhere else instead.
The scenario you are talking about, though–an unhooked applicant who likely wouldn’t be able to get into any peer colleges RD–is not in either of those categories. Of course they may not get accepted either ED or RD, but there is not much reason for a college to not want them RD but then want them ED instead.
So personally, I would not worry about giving up some big automatic boost. In fact I am very confident about that as applied to Brown, because they say so. WashU and Rice might sometimes reject or waitlist some very highly qualified applicants they think won’t yield, but that doesn’t sound like you. So I don’t see this as a significant factor for you.
Of course maybe they will all reject you. But I would personally bet if that is going to happen, applying ED to one of them would not change that.