Opuntia is a species of cactus.
America
Vietnam
England
Austria
Out of those letters, I'd try America.
BAHAMAS
Denmark.
A desert wanderer is called a Nomad.
In whichever country the desert is located is 'owned' by that country.
There is no Cheech Desert in any country.
There is no such country. There is no country that starts with A and ends with T, let alone a 7-lettered one.