I'm a newly trained FAA CFII here, and I only know of 3 options to enter a hold... And they are the exact same (ICAO standards) I was taught in the UK.
It's an ICAO hold, it should be the same (or very similar) worldwide.
So we have 3 options; Direct, Parallel & Teardrop (aka, "Offset" in Blighty)
If you care to enlighten me as to the "extra" FAA methods, then I'd love to hear...
...Maybe it's something you picked up in Florida?!