There are quite a number of 3415 pound tires such as the one Travelnutz mentioned. You don't have to go to the 265's to get it (or at least I don't think so.) I had Big-O AT's in the summer and Big-O XT's in the winter when I had the 2500, and I THINK both were 245's. Regardless, a 3415 tire would be the ticket for you.
PS: Might also want to make sure of the ratings for your wheels just in case they are also 3043# wheels.