You will have lots of options, with 270s you will need to convince programs you're not some socially incompetent weirdo (especially with no other activities). I don't know you and am not trying to say you are or aren't a good fit or whatever - just broadly it's kind of an eyebrow raiser when someone is so good at test taking but doesn't have much else on the app. Your med schoole experience points to the same but you ended up at a T10 so probably will work out for you again assuming you interview okay.
I would use your signals geographically where you want to end up, and try to have a compelling reason for those programs. Aim mostly for top to upper mid tier programs. Small places aren't going to believe you're interested in them with 270s. Try to have a good explanation as to why you don't have much research (1 project isnt the end of the world) but still want to do radiology.
Your best bet is leveraging your contacts at a T10 to pick up the phone and tell residencies that you're a hard worker and easy to get along with.
