Raise sizing on a straight possible turn texture

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Raise sizing on a straight possible turn texture

BB: $204.55 (Hero)
SB: $248.50
Preflop ($3.00) (2 Players)
Hero was dealt T 9 6 J
SB raises to $6, Hero calls $4
Flop ($13.00) T 7 J (2 Players)
Hero checks, SB bets $9, Hero calls $9
Turn ($31.00) T 7 J 3 (2 Players)
Hero checks, SB bets $24, Hero raises to $88, SB calls $64
River ($207.00) T 7 J 3 6 (2 Players)
Hero checks, SB checks
Final Pot
Hero has T 9 6 J Hero wins $205.50

Ok, I played this hand HU vs a 1/2 HU PLO reg. My questions are regarding the turn.

Villain has a standard cbet on flop/turn of about 75/55.

My questions are:

1. Does my hand play best as a check/call or a check/raise? 

2. How should I size when I check/raise a turn with this kind of texture?

3. What is a good balanced check/raise range on a turn like this vs. a decent aggro opponent?

4. Do I have a check/raise/fold range? If so I assume this hand belongs in that range?

My own thoughts:

1. My hand is probably best right now but also very vulnerable and plays pretty bad on the river. So a raise is mostly for protection and to make him fold out good equity. Check/calling lets him realize equity too often with weak hands.

2. I guess we only check/raise less than pot if we have a raise/fold range. I can only think of a few. Hands like (JT, 99, 88) I can see as a c/c flop and check/raise/fold turn. However, these hands are only a small part of my overall XR range and the rest of my range the best vacumm play is probably to check/raise full pot, right? So what is my best sizing overall?

3. Straight, sets, OE/wrap + FD and most 2P + FD.

4. As mentioned I think (JT, 99, 88) could be good check/raise/fold hands. Especially if JT comes with a 8/9 blocker like the hand I have.

Thanks in advance!

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