NL100 HU topset on monotone flop 140bb deep

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NL100 HU topset on monotone flop 140bb deep

SB: $140.35 (Hero)
BB: $163.92
Preflop ($1.50) (2 Players)
Hero was dealt Q Q
Hero raises to $3, BB calls $2
Flop ($6.50) Q 5 3 (2 Players)
BB checks, Hero bets $4, BB raises to $13, Hero raises to $42, BB calls $29
Turn ($94.50) Q 5 3 4 (2 Players)
BB checks, Hero bets $95.35, and is all in, BB calls $95.35
Hi guys,

do you see an other way to play this hand? mabe other betsizes?

Villian is a stars nl100 hu reg, i do not know much about him, we played about 50-70 hands together.

I see a ch/r on this board from a standard regular like this:

AdX KdX 33 55 Q5s Q3s sometimes AQ KQ etc (but heavily discounted) and a few bluffs

i am not sure how i should play as stacks get deeper. vs a 3bet he continues probably only a flush (4bet) or a pretty strong darw like AdQo KdQo Ad2o Ad4o (call more than 4bet). i doubt that he shipps 33 55 there probably only call to hit a boat.

so the best option is to 3bet to charge his draws and sets. if he shoves he almost always has a flush there. but vs a flush i have 34% equity and with my 3betsize i have to call 95 to win 185 ---> 34%, hence its a break even call.

my questions are:
1) should i 3bet bigger for better odds on a call?
2) does sb see a bet/call as an option?
3) how shoud i change my plan when stacks are more than 140bb (i.e. 200bb)?

thx for help

Teddy
River ($285.20) Q 5 3 4 T (2 Players)
Final Pot
BB has 2 A Hero has Q Q BB wins $280.20

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