Wyoming state representative Lorraine Quarberg (R-Thermopolis) has proposed Wyoming House Bill 85, which will prepare Wyoming for the day that the USA collapses. It includes an amendment proffered by Rep. Kermit Brown, which establishes a task force to investigate "conditions under which the state of Wyoming should implement a draft, raise a standing army, marine corps, navy and air force and acquire strike aircraft and an aircraft carrier."
The state does not have a whole hell of a lot of water, to be honest. It appears that its largest lake is Yellowstone Lake, which on average is about 140 feet deep. (Yes, it's in a national park now, but that wouldn't matter, would it?) The draft of a Midway-class carrier, which you can probably find on eBay for cheap, was only 33 feet; even the biggest carrier available (Nimitz-class) only needs about 40 feet of water to float. So yes, assuming they could find one and figure out a way to get it in there, the people of Wyoming could potentially have their own aircraft carrier. It might not have much room to putt around in, but still.
I wouldn't get too cocky, though, even then. Dry as they are, most if not all the neighboring states seem to have at least one lake that could float a carrier, and since Wyoming has the fewest people of any U.S. state, it'd be heavily outnumbered, too.