I did my FAA ATP rating earlier this year as a "prior experience" course based on my EASA ATPL with G-V type rating; I did the written then took the FAA checkride in the Gulfstream sim right after my planned EASA OPC/LPC. That was several months ago but I'm still waiting for the certificate, I guess they are a bit busy!! No medical required if taking a checkride in a sim!
Mutt, with your hours on the 73 I'm sure you would qualify for the "prior experience" course; check it out!
Happy landings
3 Point