I think it's fine, also fine to c-c the turn and river to get them to bluff with over cards and draws. Come the river they have a floated Qx or bluffs, appears to be on the looser so calling like you did looks fine.

I like it. I think you can certainly double barrel this for value on this texture since you'll have a fair bit of bluff combos too. River will always be tricky to play OOP, but I like check/calling on such a brick card. Well played.

I like the turn barrel with some draws out there, and to get protection from his overcard floats.

The river I would fold though. I don't expect him to bluff any showdown value nor to double float air frequently enough. Not to mention that a loose player like this can have plenty of 4x.

Double-barreling is fine. Turn sizing makes sense. Seems fine up until the river where x/f is going to be correct. Probably not quite enough busted draws on this runout + players have a tendency to not float-bet-bluff river frequently enough.