TT against a donk, 400nl

[ahnuld]

400nl on prima. Villan has 400 and I got him covered. Im newish to table but in that time I saw villan call a raise to 24 cold with Q9 suited and then the BB's allin for 84 total. Anyways I got TT UTG and limp. 2 limpers and villan makes it 8. 3 callers back to me and I decided to drop the hammer, reraise, 56 cold. Villan is the only caller.

Flop comes J93. I bet for 110 into 140 pot. villan thinks awhile then calls. Turn is the Q giving me an outside straight draw. 250 left and 360 in pot. Auto push? Check fold? I think auto push is correct, but I would like to get different perspectives and see if anyone checks the flop.