I think the major issue will be finding LP.. Not all places have it.. So when you travel plot 1: Places that SELL LP and 2: Places LP is prohibited.
Like others, Have never seen a motor home fueled by LP but.. I have seen LP conversion kits for car engines...
LP has less "Punch" than Gasoline so for any given engine size climbing hills may be harder.
LP is more enviormentally friendly and generally the engines run with less noise (For the same reason it is harder to climb hills).
My Dad was a well tender (Oil well) for several years.. That single lung engine ran on LP.. 300 gallons of it.