Bio Pole is the name of a laboratory which has operations on all of the French Caribbean islands. I know that they do the actual analysis for rt-PCR testing, but not much more about them.

I think, but don't know for sure, that rt-PCR testing is free (paid for by the French government), but Antigen testing is only done for a fee. You can probably get an Antigen test at most pharmacies on the French side, rather than queuing up at the Red Cross site in Hope Estate.