Most medical centres do not have a CAA AME these days, but it is always worth asking. The bottle of something or the RMC BBQ or tea-bar fund is also long gone.
The CAA now charge the RAF CAA-qualed Doc for issuing the paperwork via an electronic system that they have to pass on to you - or they foot the bill!
Finally, I believe all Class 1 meds have to go for initial at Gatwick these days (aircrew or not). So unless you have been issued a Class 1 previously then it is not possible unless a renewal by a RAF Dr (edit: I'm 100% sure this is the case since 1 Jan 09 having looked it up for you).
The SMO at Honington is fully clued up on this as a serving RAF Wg Cdr AME - try dropping him a friendly e-mail on Dii.
Sorry to p!ss on your bonfire TTH but things have changed of late.
LJ