Hi JuiceQuadre,
you answered your own questio already. 
After the preflopcap you should put them on good hands. That may be 88+, AJs+, AQo+ maybe looser maybe tighter. That depends on the position where they raised from and how aggressive they are.
After the flopcap you can remove some hands like, AJs, 88 and 99.
With the T on the turn you still beat/split: AA, KK, AQs+, AQo+. You are beaten by: TT, JJ, QQ.
It's hard to tell how to go on without knowing your position and the action.
Let's say you bet out (which is correct) and you get raised. Now I don't see them holding AQs and AQo anymore.
Furthermore I calculate with only 1 opponent (your hand is tronger against just one but more in a moment).
Then this is the result:
Board: Qd Jh Ts Tc
Dead:
Equity Win Tie Loss Hand
Player 1: 55,062% 33,678% 42,769% 23,554% TT+, AKs, AKo
Player 2: 44,938% 23,554% 42,769% 33,678% AsKh
As you can see you aren't a favorite even against one anymore. That means you should just calldown from here on.
Here your equity against two opponents:
Board: Qd Jh Ts Tc
Dead:
Equity Win Tie Loss Hand
Player 1: 43,160% 36,883% 16,364% 46,753% TT+, AKs, AKo
Player 2: 43,160% 36,883% 16,364% 46,753% TT+, AKs, AKo
Player 3: 13,680% 4,935% 21,299% 73,766% AsKh
That means if they start to raise and 3-bet you you can almost fold against reasonable opponents.
After the hand you knew that at least one opponent wasn't reasonable so I give him a wider range:
Board: Qd Jh Ts Tc
Dead:
Equity Win Tie Loss Hand
Player 1: 46,315% 32,988% 27,726% 39,286% TT+, AKs, AKo
Player 2: 24,905% 23,290% 4,303% 72,407% 99+, AQs+, ATs, KQs, KTs, QTs, JTs, 98s, AQo+, ATo, KQo, KTo, QTo, JTo, 98o
Player 3: 28,780% 14,913% 28,809% 56,278% AsKh
Now you should continue calling down but it's still no cap from your side.
I hope this wasn't to confusing.
