I dont think you overplayed AA here since BB had about 20bbs and
He could have Tx, 89, any hearts draw or just make random button click
I personally think its just a cooler
Its a tough one - but I don't think I'm being results orientated by saying you could have found a fold when reraised on the flop - what does V have to flat pre and raise but not jam there? maybe 8h 9h just maybe a nut flush draw (but more likely to call or jam) I think its almost always 77 or TT.