BB: 104 BB
UTG: 106 BB
MP: 120 BB
CO: 100 BB
Hero (BTN): 115 BB
SB: 100 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: Hero has J 5

fold, fold, fold, Hero raises to 2.5 BB, SB calls 2 BB, fold

Flop: (pot: $0.03 / 1.5 BB) J 5 2
SB checks, Hero bets $0.05/2.5 BB, SB calls 2.5 BB

Turn: (pot: $0.13 / 6.5 BB) 8
SB checks, Hero bets $0.10/ 5 BB, SB calls 5 BB

River: (pot: $0.33 / 16.5 BB) 6
SB checks, Hero bets $0.33/ 16.5 BB, SB calls 16.5 BB

SB shows 55 wins pot ($0.99)

Is there any getting away from this? I feel like this hand is too weak and the board too dry not to bet for value on all 3 streets. I didn't have too much of a read on this player - if I knew he was very tight it might have been a different story.

I would fold hand pre-flop, even if the blinds are a bit tight.
But after flopping 2 pair, you really can't miss out on 3 streets of value, so I guess post-flop plays are fine.
(NOTE: Pot numbers are wrong, you cant have 0.03c in the pot on the flop)

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Fold pre think urself lucky you was playing someone terrible who didn't make you go broke

fold pre, AP rest is fine

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fold pré