Hi,
There is no Exeter crew base but sometimes we operate the occasional charter out of there. We have a Bristol base at the moment but the crews have been advised that it will be closing at some point in the near future.
Your best bet would be either Bournemouth or Cardiff. Bournemouth is a B737 only base and Cardiff has both B757/B767's and B737's based there.
Probably not the answer you were looking for but I hope it helps.
Cheers.