We block a set of tens, so I probably raise turn or bluff river when checked to. You also block 65

Would you raise turn after he barrels pot? It sucks very much when we get 3 bet on the turn if we raise.. He can go all in then and we wont have the Equity with our gutter+ NFD. (assume we raise to around 10$ on the turn)

I would definitely flat turn once he pots. I would be pretty surprised if he was doing this with a weak hand or bet-folding, so let's just call and see a river in position.

The river is a pretty good bluff card for you, but I'm not sure how often this river bluff will actually work against the player pool at ..05/.1.

From my experience what happens quite often when you raise the flop is that they call one street and fold the turn. I would choose that line because otherwise ou are jus thoping for villain to give up or hit a T.
As played I wouldnt raise the turn for the reasons you mentioned. A backdoordraw has higher implieds and you are drawing to the nutstraight/flush, which will give you the chance to make a valuebet that he just cant fold to.

Disclaimer: I don't play PLO.

I would say this is pretty low in your range and you do have the 6 blocker for the straight otr, so I'd probably throw out a river bluff as has been suggested.

So probably raise flop to 2,7$ seems best and barrel