AA to TT9 3-way, PSR 1,6

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AA to TT9 3-way, PSR 1,6

Blinds: $0.50/$1.00 (5 Players) BN: $89.53
SB: $264.71
BB: $98.58 (Hero)
UTG: $702.25
CO: $182.50
Preflop ($1.50) Hero is BB with 2 A A 7
UTG calls $1.00, 2 folds, SB raises to $5.00, Hero raises to $17.00, UTG calls $16.00, SB calls $12.00
both opponents are bad players, SB is aggressive, RFI, around 40% and UTG is loose passive fish, VPIP 90%.

My Preflop Raise here is standard.
Flop ($52.00) T 9 T
SB checks, Hero bets $49.50
Pot stack ratio is 1,6. I have 80 $ left and opponents cover and have each other 240$ effective.
I am not very happy about the flop but most cards would make it even more difficult.

Shall I bet/call, bet/fold, check-fold or check-call.
Against 100% random distributions either of opponents have T once in 3,2 times, but T hits their range much better I guess.

Hard spot. Has anybody done exact maths for similar ones? I decided to pot, as I thought that big part of their holdings is also draws.

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