NFD in 3bet flop against nit

Nit is running 14/11 afq 50 with 75% fold to 3bet ratio and is pretty straightforward postflop. His continuing range preflop probably includes TT+, AQ+. Postflop he's likely to be flatting AQ and possibly AK & TT+. What's our line having bricked the turn here? We're certainly behind but have outs to the nuts & we will give up the pot every time we check. Villain has less than pot behind. Shove or c/f?

PokerStars No-Limit Hold'em, $0.10 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

MP ($7.90)
CO ($8.35)
Button ($10.75)
Hero (SB) ($16.65)
BB ($29.35)
UTG ($2.15)

Preflop: Hero is SB with A, J
2 folds, CO bets $0.30, 1 fold, Hero raises to $1.20, 1 fold, CO calls $0.90

Flop: ($2.50) 8, Q, 2 (2 players)
Hero bets $1.80, CO calls $1.80

Turn: ($6.10) 6 (2 players)
Hero ??? (Villain has 5.35 behind)