Due to increased security measures, its regrettable that work experience is a lot harder to come by at airports. It was always fairly difficult to find, but I know that now working at airports, especially airside is all but impossible in the UK & USA.
Perhaps writing to the airport to explain your situation with the opportunity at working for the airport's information desk, or perhaps writing to an airline to work in their call centre would be a good idea.
Before working for the airline I did, I did my work experience, and subsequently a part time job in the travel agency of the group. Why not try working for an airline-related industry, such as a travel agency or bus/train company?