with nuts I would prefer take advantage of leading, so against fishes or unknowns I´d c/minraise flop

, bet turn 3/5 pot and shove half potsize river
This looks a lot like top pair hand or draw and I think they would call me down quite light.
against good players c/c flop, leading turn is reasonable line and then trying to shove river or betting 1/2 pot.
I´d bet turn 11$
btw if you shove river, then only 55/77 would likely only call, which is too small range. I would bet 13$ to get looked up more often.