Problem with your line is that you dont rep too much.
Its cool that you have the Qs he shouddnt have too many flushes here, maybe AJss but thats about it i guess....
He could have JJ tho.

I think i would just call or fold rvr as you dont rep too much.

I prefer checking QQ back and betting a lower pair instead if you want to induce a float as they need the protection more. As the other guy said, you don't rep much with your river raise.

As Teddy said, I also prefer checking back QQ OTF. There are no essentially draws, so what do we accomplish by betting? Unless you have a read that the villain floats light versus a UTG open and will steal, I don't expect anything to call here except a pocket pair or K. We obviously beat all pocket pairs (obviously except AA) and I think we can squeeze in a value bet later. 

As played, once villain calls OTF, checks turn, and pots river, it really looks like we're cooked. Check-raising all in OTR, seems a little spewy. 

The only think your river raise reps is 77.  Would you really play AXss this way?  Also, villain's river bet size tells you he is strong and his wtsd tells you he calls to much.

I would not check back the flop. He doesn't have many Kx, and you don't want to play your hand face up. Only betting Kx or better and bluffs polarizes your range too much.

Raising doesn't accomplish anything. You cannot credibly rep what you are trying to rep, and he made a polarizing bet. Since he's either got a pretty big hand or nothing, you need to decide between bluff catching and folding.