Poker Stars $0.09+$0.01 No Limit Hold'em Tournament - t60/t120 Blinds - 8 players

MP1: t2370 19.75 BBs
MP2: t3060 25.50 BBs
CO: t1640 13.67 BBs
Hero (BTN): t3360 28 BBs
SB: t3585 29.88 BBs
BB: t1550 12.92 BBs
UTG: t10335 86.12 BBs
UTG+1: t2643 22.02 BBs

Pre Flop: (t180) Hero is BTN with A K
1 fold, UTG+1 calls t120, 1 fold, MP2 calls t120, 1 fold, Hero raises to t500, 3 folds, MP2 calls t380

Flop: (t1300) T J J (2 players)
MP2 bets t1080, Hero raises to t2860 all in, MP2 calls t1480 all in

Do you think the push is ok vs unknown? I get 3860/2860 and thus need 42.55% here. If I assume that he sometimes does it with draws (take BI into account), it should be BE. Ididn't even include medium PP and weak fd's.

Board: JJT
Equity Win Tie
MP2 41.69% 40.72% 0.97% { AsKc }
MP3 58.31% 57.35% 0.97% { AJs-A9s, K9s+, QJs, Q9s, T9s, 98s, AJo, KTo+, QTo+ }

Raise bigger pre.

Fold flop.

When these donks lead out like this they always have it (most likely a jack, against which you are drawing thin) so you can take the draws out of his range. It sucks but folding is best. At a higher buy-in level this might be more ok.