Cheapest type will be a citation II, you could do it affordably in the US so no VAT standby ticket, cheap hotel.
Handy TR too covers you from a 70s vintage citation 500 all the way to the pocket rocket 2007 encore plus
FliGhtsafety have a sim in Atlanta that's cheap they'll discount a legacy sim self funded course as well, circuits with LEA in one of their 550s you may even get some freelance
