An unusual gutshot situation

[Siegmund]

I don't remember ever facing this decision before...

Ultimate Bet 1/2 Hold'em (10 handed) converter

Preflop: Hero is Button with Q[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/heart.gif[/img].
<font color="#666666">3 folds</font>, MP1 calls, <font color="#666666">2 folds</font>, CO calls, Hero calls, <font color="#666666">1 fold</font>, BB checks.

Flop: (4.50 SB) 8[img]/images/graemlins/club.gif[/img], 9[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, MP1 checks, CO checks, ....

Even on the button maybe I shouldn't have played QTo, but I did. I am of course folding the gutshot to a bet on the flop. But now I have a choice: do I take the free turn, or do I bet out hoping to buy a free river?

Reads: BB overdefended vs. steals and is a loose coldcaller. Somehow I doubt he could come up with a bluff checkraise in this large of a field, even if he might do it opposite a stealer.
Middle guy has been agressive, doing things like betting two overcards into a raiser if the flop is 3 rags. Pretty sure he missed this flop.
Cutoff just sat down.