Portray as much weakness as you can and make a hesitant almost fold call
Come turn, if he value bets, lean more towards folding. If he blasts the pot all-in and it is clear he is just trying to fold you out then call.
Also, a "Tilted LAG" in this spot can have a wide range including under pairs to the Jack. Occasionally he will have 54 or Jx but he will also have more than enough air balls and underpairs that put us on AK for us to be fine stacking off to him even though we have an underpair to the J.
Lastly, I would probably bet a bit weaker on the turn so I can keep in more of his air balls and weaker hands and induce him to bluff more. When you bet 2/3 pot on turn that will tend to remove more air out of his range which is NOT what I want to do against a "tilted LAG". Against a tilted LAG I want him in the hand with as much of his range as possible so he will make a move on me on turn. MOre of his range that is in on the turn, the more profitable it becomes to call this raise and play for stacks on river.