Well at least you have the longer wheelbase of a super cab. Your stock 17" rims are probably not up to the task, but it is easy enough to get some stock Ford 18" rims that have a slightly higher rim weight rating, and come with E rated tires in the 3,400 pound each range.
At least you have a 2005 with a 10,000 GVWR. That is more than the F-350 SRW had in 2004. Your truck is rated to carry about 3,000 pounds. You will be pushing it with most campers, so look for a fairly light one. Don't plan on carrying a lot of weight either, the longer trips with the larger motorhome.
Have fun!
Fred.