NL Double Board Bomb Pot

The room I play started a new game. 1/3 $1000 cap where every time the button passes the dealer, a $10 double board NLH bomb pot is played. These are max 8 tables so every 7-8 hands typically.

Unlike in Omaha, I think it's harder to have really strong value on both boards so my basic strategy is to only get involved if I have nut or near nut potential on at least one board. I think having medium strength hands on both boards is a recipe for bad and other players playing this way is where we will get value.
Then in early streets either bet small or just call or raise small to keep as many players in the hand as possible. Playing too aggressively can easily drive out everybody except a player who has the other board which results in chopping a relatively small pot. Then on later streets apply max pressure. I'm not certain this is correct but what I think. So if I'm horribly wrong, would love to know other opinions.

A sample hand from my first short session in this game. For this I'm calling the first player after the button UTG since there are no blinds.

Hero 6c7s in UTG+1 just sat down with $600. Almost everybody else covers.

Flop: $70
345hh
K64r

UTG leads for $35. Hero calls. 4 other players call.

We flop the stone cold but very vulnerable top board and little hope on the bottom board. If we are in late position and get all that dead money I would probably raise very large. But decided to call here.

Unfortunately, a heart came on the top board on the turn and we had to c/f to 3 players essentially going all-in. But if the top board were clean we would over shove on the turn with about $280 in the pot to try and scoop and if not have tons of equity with tons of dead money.

Thoughts?