[Danenania]

PF is a spot I'm not too sure about. I 3-bet 55 without a thought but against a serious lag with 44-22 perhaps it's better to just call PF and checkraise favorable flops? Don't know, something I've just started thinking about more.

Postflop I think you must suck it up and bet turn. Call down if raised. I believe he will call a flop like this with close to 100% of his hand range and checking turn misses too much value from all the worse hands/draws/nothings that will either call or raise your bet. Your check is a transparent "get to showdown" move even to many lags so it's pretty questionable whether he takes the bait.

Like the river bet once you get there.