Sorry for not getting back to let everyone know the outcome. Stopped at Wally World, purchased the largest cooler they had. Packed it with ice and my goodies from the frig. Called Dometic and explained situation and wanted to make sure that they had a claim in their computer because I didn't want to try and find an authorized Dometic dealer in the middle of Utah or on my way to the North Rim of Grand canyon. The cooler worked great for the rest of the trip. Once I got home, went to the local RV dealer, explained situation to him, provide info from Dometic. Next day he called Dometic, they denied knowing anything about my claim and would NOT assist in covering anything. Seems the refrig went out of warranty about 6 days prior to it crapping out. They wouldn't show any love at all. So now I call Airstream, explain situation and the next thing I know, Dometic has shipped new cooling unit to local dealer. It cost me over $200.00 to have it installed and I think it works better now than it did when it was new.
Thanks to everyone for their assistance, tip and quick response.