There's a few male actors and TV personalities that fly. They'd have to drag up though.
The big name is Angelina Jolie who flies, has her own Cirrus 22 and donates a/c to charity. Would the Beeb's budget stretch?
Vicky Kimm, the former Mrs Martin Shaw, I think flies and is/was a TV Presenter.
Not much to go on I'm sorry.
Sir George Cayley