PokerStars - $14.39+$0.61|40/80 NL (2 max) - Holdem - 2 players
Hand converted by PokerTracker 4

Hero (BB): 14.99 BB
SB: 22.51 BB (VPIP: 73.33, PFR: 36.36, 3Bet Preflop: 33.33, Hands: 51)

SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has 5 7

SB calls 0.5 BB, Hero raises to 2.5 BB, SB calls 1.5 BB

Flop: (5 BB, 2 players) 3 7 K
Hero checks, SB checks

Turn: (5 BB, 2 players) T
Hero bets 2.2 BB, SB calls 2.2 BB

River: (9.4 BB, 2 players) K
Hero checks, SB checks

Villain limp/folded 2 out of 2, one time deep stacked, and one time to an iso shove shallow. <20BB, he limped 3/6. Is this enough info to justify iso'ing trash like 75o here?

As played, I go for a x/c on the flop, as I think my hand is too weak to bet/call, bet/shove or x/shove. Agree?

I think my turn bet is a mistake btw, as Villain rarely has A high or 3x in his limp/calling range to get value from. I'm up against better 7x a lot of the time imo.

How wide was he on the button? How do you see his limping vs raising range? Is it likely it's his bottom playing range? How strong is it vs your hand?

In general 75o wouldn't be my first choice, because you're either playing quite good vs his limping range or are dominated by his limp/calling range.

Both flop and turn include plenty of draws/pairs that you can get value from his limping range, like 65, 64, cc, 3x otf or something like 98, J8, J9, 86 ott, so I think betting with the size something you did is completely fine. I also think you would have to call his river bet very often here.