[5NL] A7s...blind vs blind...limped pot...line check.

Villain is 17/10/0 (3bet) through 52 hands. No other notes.

PokerStars - $0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BB: $6.22
UTG: $9.83
MP: $5.00
CO: $5.36
BTN: $14.46
Hero (SB): $5.00

Hero posts SB $0.02, BB posts BB $0.05

Pre Flop: (pot: $0.07) Hero has A 7

fold, fold, fold, fold, Hero calls $0.03, BB checks

Flop: ($0.10, 2 players) 2 T 5
Hero bets $0.10, BB raises to $0.30, Hero raises to $1.00, BB calls $0.70

Turn: ($2.10, 2 players) K
Hero bets $1.15, BB calls $1.15

River: ($4.40, 2 players) 4
Hero checks, BB checks

Have I played my draw a little too aggressively here or is it the correct play? I have to continue on the turn after 3betting the flop don't I? I realize villain can literally have ATC here.

The reason for the limp pre is I would rather l/c than possibly having to call a 3bet if I raise OOP, good/bad logic?