(2/4 NL) QQ postflop w/ BIG stacks....showing it down

[minwoo]

http://www.pokerhand.org/?554476

I really want to showdown my QQ on a board like this. I checked the turn in case I was up against a set and to control the pot size. When he checked behind on the turn, I truly believed that my hand was best on the river so I made that "value" bet. Apparently, it wasn't. Should I have just check-called the river?

Reads: Opponent had high VPIP of 41 or something, but I haven't seem him do any thing crazy. Seemed to be calling preflop raises somewhat often.