We are 260ish bbs deep

I raise CO 3x with AAT5 double suited get 3bet from bb I 4bet and flop comes T64 rainbow. I have 2 backdoor flushdraws and he leads like 90% pot. Is shoving the play? Calling seems to get me into very dubious turn spots. Let's say he has T987 and turn comes a 3, he still pots probably and I make a huge mistake folding. We're 40/60 against naked wraps cause the T is also there and 9 makes a straight but I don't see any other play. Maybe fold against a good player cause he'll be doing this with T6 or sets also, but I feel your average 25/50c unknown is gonna show up with a draw most of the time.