I'll give this another 24 hours or so before I answer with what I had, and exactly what my thought process was going in and coming out of the hand.

I'm really glad I waited to answer this, as columbo's reply was a fun one to read. I like the way you reduced ranges throughout the actions of the hand.

I can't say any one person got closer than the other, as you all pretty much guessed the same kind of ranges, and you were all wrong. My entire table put me on 77. This hand was one we discussed for a good 5 min afterward, although I never disclosed my actual holdings to them. It was QsTc, but that's irrelevant. I could of been holding 23off for all it actually mattered. 

My thinking went along these lines;

Pre – decent enough hand to see a flop with. Don't want to 3b and thin the field of the hands i'm beating while opening up to a 4b from the hands I'm not. UTG is going to barrel every single flop, and we should be able to get a caller at minimum so I can flop and evaluate.

Flop – I have top pair on a draw heavy board. This is not good. It's possible that my QT is leading here, but at this point it's pretty much already a bluff catcher. UTG bets with his entire range, because he was never one to miss an opportunity to fire. MP1 call has me slightly concerned. His most likley range is weak flush draws and 2nd pair/weak top pair. He knows that UTG likes to barrel, so those are hands he's going to want to bluff catch with. I consider check raising at this spot, but I'm not wanting to give either of these two a real chance to steal the pot back with a raise on T/R, as I'd then have to barrel at the hand on both streets. Therefore I decide to check raise 80% of turn cards. 

Turn – Great card. This can't really help their ranges, but it certainly helps mine. It's very possible for me to be sitting on the exact range that Columbo mentioned, so 5's are in there. The flush didn't show, so if one of them is chasing, I should clear them out with a c/r here. UTG continues to follow his trend and barrels. MP1 flats again, which somewhat confuses me. I can't really put him on 2nd pair anymore, and I don't like having a lot of weak T's in his range, but a hand like JT or T9 is still likely. I definitely messed up my sizing. Oops. It's possible this worked out to my advantage and makes my hand look even stronger. 

River – I was somewhat worried with this card. MP1 could of gotten there, but if he did it's not very strong. Having the paired board helps a bit. Basiclaly I have a hand with marginal showdown value, but there is no way this is going c-c-c. Since my plan the entire time was to c/r turn and barrel river, I can't back out now. Your reponses and the table discussion confirmed to me that no one can ever give me anything light/bluff here. Which is exactly what I wanted. I found a spot where no one can give me bluffs in my range, and bluffed there. They both folded fairly quickly.

The basic idea in this hand was to rep the absolute top of my range, and having MP1 flat made it much easier to that. At no point did I think QT was going to win at showdown, so I need to get the better hands to fold. I turned a hand with marginal showdown value into a bluff. It looks insanely strong when I flat the flop and c/r the turn into two players. This was a new line for me, because it was one I would have never considered before my coaching. It was a line that we discussed in length, and after taking it and the discussion afterwards, I can see why it's so effective. If they can't find a hand in your range you are bluffing with, then they won't ever put you on a bluff. I can't count the times I've heard “well you either had the nuts or air”. 

I'll be honest that part of this post was a validation of sorts – I respect a lot of your thoughts and the way you all work through things, so it's nice to see that in this spot I'm getting very strong ranges. That was the intent of playing the hand that way. I hope that sharing the line is a fair enough trade for my new weapon 🙂 I also hope the discussion doesn't end here, as there is a lot more to this concept.