Hi Picky,
That is a good point that TonyR makes in regards to checkouts over in the States.
Another additional note is that the checkout should also be a BFR in order for your FAA PPL to be validated. A BFR will then be required every two years to keep the FAA PPL valid, even if it is based upon your JAA PPL. A BFR consists of an hour or so ground and the same in the air before the instructor can endorse your logbook.
By the way TonyR, I met a friend of yours in Naples (Florida) last week.
Best wishes,
Charlie Zulu.