305/45/22's were a little stretched on my 12" wide but should sit nicely on a 11" wide.
As far as an A/T, I've always liked nitto terra grapplers and especially the Toyo AT II's
Toyo makes 33x12.50R22.
What about the fuel tires. They look like Toyos but are cheaper. I think that's what bill newl is running maybe find out how he likes them