Hi Adam,
Well, you got out of it alive and that's all credit to your instructor. As you progress through your PPL(H), you practice engine-off landings 'til you're sick of them. I also learned in a Schweizer 300C/Hughes 269C and it is a tough little helicopter that can withstand quite a deal of rough treatment. It IS designed as a training aircraft and is very forgiving.
So, if you do think you may want to have another go in a Schweizer, there's Biggin Hill Helicopters who use them rather than R22s. Depending on how far you want to go (either learning full-time or in a block), there are Schweizers in Norwich and Bournemouth; both of whom I can recommend.
If you're definitely going to do a PPL(H) on a turbine, the JetRanger is nice to fly and they're more plentiful.
As for the other schools, FAST are very good but I have no experience HeliAir - they have a good reputation though.
Cheers
Whirls