Check out Passport Health although they are in Rhode Island and I am not sure if that is far away from you but it may be worth it for the piece of mind knowing you have the correct test.
It seems they will know exactly what is required. Not sure on costs and if personal insurance will cover any or all of the costs.
It also seems that arrivals to SXM can arrive without proper documents and results and have test taken there for $125.00 and "quarantine" until results come in. Seems results are the next day.
Most airlines are not going to let you travel to SXM without any test results, so you'll never make it to SXM to get tested there. The people who were retested were done so because they did not have the correct test.
