Why not write to the Shuttleworth Collection direct? I think they're likely to be as helpful as possible. However they employ very few people indeed and rely on a mass of volunteers to do the donkey work including engineering I believe (under the staff Chief Engineer). All their pilots are ex ETPS.
I'm not sure what careers you might find in "Vintage Aviation" - pretty thin pickings I'd imagine as it's a tiny and rather specialised field but be prepared to get considerable relevant experience as an Engineer (wood and fabric airframes are not well covered in modern engineering training, I think you'll find) and then spend a lot of time volunteering.
Good luck, it would be fun!