Folding preflop would be absurd, but you do have to reorient your thinking toward split pot games. A good high-only hand is more of a drawing hand than a made hand. On a high or highish board where everyone has low cards, it can clean up.
So you have to look at this flop not like you would top set in HE or Omaha high, but rather as a heavy favorite for one side of the pot that hopes for low to bust to win the other half. You're probably a dog to any hand like A
3
. In a game with actual fold equity I wouldn't mind jamming the flop, but here you're rarely getting non-nut low draws or diamond draws to fold, so I'm fine with playing the flop carefully.
On the turn you have 13 scoop outs and 3 more nut high outs, so you probably want to call (or shove if the bettor is very aggressive). It does set up a nasty spot where you're getting crazy odds on the river though.
In the event, you get the worst card in the deck on the river. You didn't tell us the pot but the odds must be substantial. Even so, you can probably safely fold.