NLHU 5/10 overbetting range on 83376

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NLHU 5/10 overbetting range on 83376

Blinds: $5.00/$10.00 (2 Players) SB: $1093.24
BB: $1080.66 (Hero)
Preflop ($15.00) Hero is BB with 6 5
Hero raises to $25.00, SB calls $15.00
Flop ($50.00) 3 8 3
SB checks, Hero bets $16.33, SB calls $16.33
Turn ($82.66) 3 8 3 7
SB checks, Hero bets $80.00, SB calls $80.00
River ($242.66) 3 8 3 7 6
SB checks, Hero bets $500.00, SB raises to $971.91 and is all in, Hero folds
Final Pot SB wins $1241.66
Rake is $1.00

Hi !

I think flop is ok.

Turn : I like the idea of having a pot size bet range here giving that villain has a lot of 8x and very few 3x.
I don't know if I should have a smaller sizing range though ? Maybe a 1/3 pot range would be nice as well with my 8x/7x/55-22 and good A high. And obviously mixing it with some 3x and/or 83/88/73

River : I think I'm making a mistake here. If I check I'll win a small % of the time against FDs and maybe few Ah. So I might want to choose another hand to bluff with even though I have good blockers. J9 would be a first choice. Then some low FDs. Maybe all of my FDs ?

Sizing wise I think I like overbetting more than 3/4 or pot here because I improve to a lot of straights and villain will have very few nuts here.
Would shoving be better ? It feels like it's too much imo.

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