You would be better 3B or fold from SB unless you really want to play with fish in BB

The easier line to implement preflop would be to simplify your strategy with pure folding or 3!'ing. Makes your life postflop that much easier with how you want to structure your hands.

The turn card is going to be a higher EV turn for Villain (considering that they checked back the flop) which should result in a high amount of checking from your part.

If you wanted to have a lead range for the turn think you've got two sizes either a small size (to exploit to make them fold their high card hands if they over fold) or to bet larger with the intention of applying more pressure on the river when their range will likely be capped to lots of Ax with the likes of an overbet.

Would have preferred going for a turn check raise and overbet river line or if turn checks through to bet large on the river

Turn is a really bad card to bluff here. We don't have nearly as much AX as villain.