Villain is an 18/16 with a 42% ATS over 80 but I haven't 3b him yet, so I think my first 3b should get credit
I would of course prefer 47s

Full Tilt No-Limit Hold'em, $1.00 BB (5 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

UTG ($101)
MP ($75.55)
Button ($100)
SB ($103)
Hero (BB) ($101.85)

Preflop: Hero is BB with 4, 7
3 folds, SB bets $3, Hero raises to $9, SB calls $6

Flop: ($18) 7, 8, A (2 players)
SB checks, Hero bets $11, SB calls $11

Turn: ($40) 3 (2 players)
SB checks, Hero bets $22

My reasoning is that since he called my 3b he probably doesn't have AK or QQ+
furthermore, he'd probably raise an ace high/flush draw/straight draw board with a set or a draw

so his most likely cards are AQ, AJ, 99-JJ by the turn
I should fold out 99-JJ, possibly AJ
if he decides to call the turn, he should probably decide to play for stacks if I hit my 5 outer on the river (I will shove river for sure if he checks to me)

how do you like it, and how do you like my plan if I hit my 5 outer?