So you need to dig deeper
If your budget is max $50k - you need to have your parents run the net price calculator at all of these - as they all cost significantly above (nearly double)and most have only need aid.
If you qualify for no aid and can pay $50k instead of $95k, no reason to have them.
If you have no need, CWRU and RHIT are possible with merit. Possible but not assured.
You will get into RHIT so it’s an admission safety (but not a financial safety).
So look at lower tier LACs that give lots of merit or other schools whose full price is $50k or less like UIUC, Illinois State, Southern Illinois.
Schools like Missouri Science and Tech or Michigan Tech could be of interest. Or you can go South to UAH for $20k a year.
But instead of Harvey Mudd, think Wooster, Allegheny, Kalamazoo type schools and many more. RPI another to look at.
If you run an NPC and find you have need, it will open more.