I wonder if you cut a template out of a heavy plastic or light plywood if that would last... According to my favorite tire size calculator (
Tire Size Calculator - tire & wheel plus sizing) your tires are actually about 1/4 inch bigger then mine... so, it looks hopeful. I could go with a 265/70/18 and get the same size and save some width underneath...
I guess to be sure I'll have to drop my spare and try get one of my new wheels in there...