FD facing raise on flop vs NIT player

Posted 6 years, 6 months ago

Blinds: $0.02/$0.05 (6 Players) BN: $6.34
SB: $7.42
BB: $5.57
UTG: $3.40
MP: $5.00
CO: $15.48 (Hero)

Preflop ($0.07) Hero is CO with A J

2 folds, Hero raises to $0.12, BN calls $0.12, SB calls $0.10, BB folds

Flop ($0.41) 4 7 T

SB checks, Hero bets $0.22, BN raises to $0.86, SB folds, Hero calls $0.64

Turn ($2.13) 4 7 T 4

Hero checks, BN bets $1.06

villain is 11/6 over 36 hands / 0% 3 bet pf / 0.5 agg

on the flop,
is ther any merit in just shoving here? do i have any FE vs his very tight range, but he can still have 89 or a FD.

on the turn, when board pairs i should maybe just call here ?