You've ruled out the RAF, by that same note would you also rule out the Fleet Air Arm of the Royal Navy? Far higher probability of working on helicopters. They do SAR from Culdrose and Prestwick I believe. Of course, there is that minor issue of potentially going to war and the fact you may get no choice over what you do.
I wish I had thought of flying a few years ago, now too old for the RAF due to the fact I chose work over education.
Would have loved the chance to have flown those Tristars..