Mack,
I can't prove it but I strongly suspect someone increased the tire size on your coach. While the 2001 Patriot brochure states 275s for all models it seems to make little sense (to me) that you would need the same size and load range tire on both a 40' and a 33' coach, considering the obvious weight difference. The 2001 Monterey came in 30' and 36' models with GVWR of 29K and GVCR of 34K, much closer to your weights than those listed for the 01 Patriots and specifies 265/75 R22s.
Based on the weights you stated, your GVCR is ~27K if I calculated correctly (4620x2 +4380x4).
Steve