If you take the route rudestuff suggests, may I suggest you first visit the schools you will be wanting to hire from on your return to the UK.
Many schools are unaware of the finer points of licence recognition and in any event are within their rights to impose any number of restrictions before hiring you an aircraft.
Some schools are very good about it, others not so. The cost of either:
1. Travelling to a FAA friendly school everytime you want to fly; or
2. Complying with the schools requirements
may make the cost savings somewhat less.
Also even though you would be within your rights to fly in the UK on your fresh FAA licence, whether you feel comfortable doing so may be another matter entirely! Airspace and procedure is considerably different
Edit
Actually, you already have fixed-wing experience in the UK so that negates my last comment to a large degree