NL10 Q9 freeplay shove when draw 01/06

Known players:
[tg]Position_Stack:hands/vp$ip/RaisePreflop/AF/WTS/ORL/BBvsSteal/W$SD;SB$16.35:24/42/13/1.5/11/100/-/100;Hero$4:///////;MP2$9.9:02/50/0/0.0/0/-/-/-;CO$7.85:24/17/4/-/25/0/100/100;BU$8.46:08/75/25/1.0/20/50/0/100;[/tg]
0.05/0.1 No-Limit Hold'em (6 handed)
Hand recorder used for this poker hand: PokerStrategy.com Elephant 0.106 by www.pokerstrategy.com.

Preflop: Hero is BB with Q♦, 9♦
MP2 calls $0.10, MP3 folds, CO calls $0.10, BU calls $0.10, SB calls $0.05, Hero checks.

Flop: ($0.50) Q♣, J♣, 9♠ (5 players)
SB checks, Hero bets $0.48, MP2 calls $0.48, CO raises to $7.75 (All-In), 2 folds, Hero calls $3.42 (All-In), MP2 folds, CO gets uncalled bet back (All-In).

Turn: ($8.78) 7♥
River: ($8.78) 3♥ (2 players)

Final Pot: $8.78

i think Co has monsterdraw or straighdraw only KT.
So i shove for value.