there are a few factors at hand that are very important. What is the gross weight of your rig ,and how much of that weight is on the tires (how much weight goes on the tow rig also).
Next question is do you have clearance for a 28" tire for full range of suspesion travel +3/4" at its max range.
after see if its poss to deal with a 28" tire I would run 225-75-15 load range "D" or "G" tire made by Maxxis or Goodyear. a 225-75-15 D tire is about the min tire needed for a 10,000 gross weight trailer , IMHO its best suited to trailers around 8000 max.
there is a lot of good info on tires on this web site , try a search of old topics.
2001 Holiday Rambler 31' cks 10000 lbs loaded
2006 2500hd duramax/allison crew cab