Oh dear. The process works like this:
1. Request foreign license verification letter from FAA and nominate FSDO.
2. Request CAA verification.
3. Within 90 days, Part A of FAA letter arrives at your home address.
4. Make appointment at FSDO.
5. Show up with license, logbook, passport and FAA letter. They will have Part B of the same letter.
6. Temp certificate issued on the spot.
7. Proper FAA license arrives in post a couple of months later.
Sorry to say I think you're going to be sat around for a while.