I think it would be very difficult to put him exactly on QQ without knowing what his pre-flop action is and what his history is. This guy is an unknown to everyone here so it is difficult to deduce what he could have pre flop which makes putting him on a range on the following streets more difficult.
With that being said what you should take from this hand is the need of controlling the size of the pot with your betting. If bet sizing done correctly it give you +EV and information on your villan both for this hand and future
hands.
Before you bet think about why you are betting. With a hand like trip Tens you should bet for value if you think he has a Q. A large bet on the turn only pushes out hands that you beat and have weak draws while loosing you lots of money to hands like QQ, 99, J8, KJ, or QT. So you have everything to loose with nothing to gain which is why it is an -EV move.
Standard bets sizes would be 1/2-1x the pot on flop, turn and river. Maybe on the river 1.5x-2x the pot depending on previous hands on river. Each time you bet you should deduce something about his hand from his action. Let that new information help shape what action you are going to take next.
It is safe to say that the chances of him having QQ is very limited by the Q coming on the flop but it is still in his range by calling your flop bet (again not sure what chances are due to no info on preflop action or previous hands). On the turn you should have considered he had a hand, likely you had him beat but there was a chance he had you of had some outs. I would say agian though you bet for value to give incorrect
odds to call with a Q or str8 draw.
Then on the river it gives you a chance to again evaluate what to do... If he just called you on the previous streets river card did not help much of anything. If you are now not sure if you are best check to hope to see cheap showdown or if you think you are ahead so you put another bet to get more value from him.
Trip tens are good but with the texture of the flop it is not the nuts. I will be the first to say that I am a river nit and in early position on the river I would rather check or check/call with a mid strength hand to see a showdown and loose a little bit of value than bet/fold when villan comes over the top of me after betting 3 streets.
So if he is
bluffing when he raises and folds when he has weak hands then he must have something strong when he flat calls. This might be worth considering when thinking about betting the turn or river.