Turned set. Fold, call or push re-reraise?

Villain was running 32/2/4 although no other reads.

Poker Stars - No Limit Hold'em Cash Game - $0.25/$0.50 Blinds - 7 Players - (LegoPoker Hand History Converter)

SB: $72.15
BB: $66.20
UTG: $61.00
Hero (UTG+1): $63.75
MP: $28.55
CO: $116.25
BTN: $8.40

Preflop: Hero is dealt T T (7 Players)
UTG folds, Hero raises to $2.00, 4 folds, BB calls $1.50

Flop: ($4.25) A 3 Q (2 Players)
BB checks, Hero checks

Turn: ($4.25) T (2 Players)
BB checks, Hero bets $3.00, BB raises to $6.00, Hero raises to $12.00, BB raises to $28.00

Hero ??

Pot Size: $44.25

Looks good, call and try to hit a boat on the river. If the river is lower than a 9 and not a 3, you have a tough decision to make.

I probably make a crying call when he pushes the river. KJ is most likely the holdings here.