Don't worry about the UK list. Any CLIA certified lab will work for rapid antigen (provided you are vaccinated). Most people are using the CVS tests.

Lots of people recently are saying the home proctored tests from eMed.com have been accepted. I just took one of those tests last week and it does come back with a CLIA stamp on the receipt so I expect it does work. Takes about 20 minutes to complete.