NL10 SH KJo

Poker Stars, $0.05/$0.10 No Limit Hold'em Cash, 5 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

Hero (MP): $12.16 (121.6 bb)
CO: $7.48 (74.8 bb)
BTN: $13.61 (136.1 bb)
SB: $7.94 (79.4 bb)
BB: $10.53 (105.3 bb)

Preflop: Hero is MP with J K
Hero raises to $0.35, CO calls $0.35, 2 folds, BB calls $0.25

Flop: ($1.10) 9 2 K (3 players)
BB checks, Hero bets $0.85, CO folds, BB calls $0.85

Turn: ($2.80) Q (2 players)
BB checks, Hero bets $1.85, BB raises to $9.33 and is all-in, Hero folds

Hello, finally went up to NL10 and found some fish so hopefully no going back down to NL5. Anyways preflop I'm raising w/ KJo always in this position. On the flop I want to protect and get value from flush draws. My problem comes with the turn. There is a better chance that the villain has the flush or straight (or even a set) as this was multiway on the flop so maybe I should should just check behind and see what villain does on the river. My thinking behind the bet was to see a free showdown and protection against an Ac. After the shove I'm definitely giving up here, but just wanted to see if betting on the turn or checking behind is the best option here.

Thanks