Personally i have done a few great things with regards to work experience, be sure to check out flybe's scheme, cant remember the bases ( I was at SAM if i remember rightly)
In all honesty there is not an awful lot one can do, i tried all handling agents, ground based companies and feesable airlines at LGW, LHR, STN and so many others, alot of it is security minded so there isnt alot to do. ( i assume this applies to all airports, although i dont know for sure, perhaps size makes a difference?)
I found ATC units to be particularly accomodating, so that could be a route for you!