100plo - marginal hand IP that has equity vs. a 3betting range

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100plo - marginal hand IP that has equity vs. a 3betting range

BN: $272.31 (Hero)
SB: $195.83
BB: $100
CO: $100
Preflop ($1.50) (4 Players)
Hero was dealt T 9 6 T
CO folds, Hero raises to $2.50, SB folds, BB raises to $7, Hero calls $5.50
Flop ($16.50) 4 9 5 (2 Players)
BB bets $11.50
reads on villain is that he is playing about 20/15/7 with a higher 3bet this session and particularly from the blinds. his cbet in regular pots is 75% and 84% in regular pots.

i'm really torn between all 3 options. if we float, there's not a ton of good turns for us. if we raise (as semi-bluff relying on fold equity but that can potentially get it in good vs. naked fd stuff and 9*** mainly) we can get it in bad a lot of the time has i don't think he's folding his KK/AA. if we fold, we're giving up a ton of equity.

thoughts?

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