Two years ago, I did my work experience at EMA, and was really impressed with how it was handled. I spent a week at the information desk, with occasional visits to the air ambulance, airfield ops, the control tower and job shadowing various people and then a further week with Servisair. This experience has been invaluable to meet people from within the industry, and has culminated (fair enough to some industry observers it may not be that impressive) in a job this summer as a PSA for Servisair.
Don't get your hopes up about getting a week in the tower, but I'd say write a passionate letter with your interest and enthusiasm to Humberside, including why this work experience would be so useful, and I'm sure they'd be able to squeeze you in somewhere.