$115 NLTRN common situation with a big draw

[Indiana]

Seems I always have trouble with this spot. I flop a big draw and dont know what to do on the turn when he calls me on the flop. I dont know a lot about this opponent but he is a losing player on sharkscope:

Table '58144343 1' 2-max Seat #1 is the button
Seat 1: Indyguy28 (2030 in chips)
Seat 2: LBChris10 (970 in chips)
Indyguy28: posts small blind 15
LBChris10: posts big blind 30
*** HOLE CARDS ***
Dealt to Indyguy28 [Qs Ts]
Indyguy28: raises 40 to 70
LBChris10: calls 40
*** FLOP *** [2h 6s 7s]
LBChris10: checks
Indyguy28: bets 110
LBChris10: calls 110
*** TURN *** [2h 6s 7s] [Kc]
LBChris10: checks
Indyguy28: checks
*** RIVER *** [2h 6s 7s Kc] [9d]
LBChris10: bets 240
Indyguy28: folds
LBChris10 collected 360 from pot
LBChris10: doesn't show hand
*** SUMMARY ***
Total pot 360 | Rake 0
Board [2h 6s 7s Kc 9d]
Seat 1: Indyguy28 (button) (small blind) folded on the River
Seat 2: LBChris10 (big blind) collected (360)

I mean, do I fire at the turn or just shut down?

Thanks-Indy