My Crocs are 12oz too.
I went through listings for dozens of shoes and even the lightest running flats aren't much lighter than the molded resin shoes like Crocs, Nuthinz, Holeys, Waldies, and all the knock-offs.
I saw a listing for the Crocs Nile model, which comes in sizes to women's 11 US, which would fit a lot of men. It should be a little lighter as it is an open toe desing-- more of a sandal. I think the Motion model looks interesting-- it may be new. It has a toe cap that looks more trail friendly, but I would expect it to be tiny bit heavier than the Beach or Cayman models. The Off Road is another interesting one.