I don't know of any way, now, that you can get an FAA licence without going to the USA. The folks in Frankfurt and London don't issue them any more.
The process to get a reciprocal one in the USA is now much more difficult (see separate thread on here), and the UK Data Protection Act means the CAA can't confirm to the FAA that your UK licence and medical are still valid, so the bureaucrats have triumphed at the moment.
The only certain route at the moment is to get a US visa, go to a decent US flight school, and do a full unrestricted FAA PPL.