Andy,
Might be the Westminster - very big, very grand, and expensive, although I haven't stayed there (or anywhwere else in L2K), I think my mate Wycombe has once when he got weathered-in at L2K.
You could try the
Le Touquet Website: they have a hotel search/booking page.
Enjoy the trip, are you going from Wycombe or Benson?
Brooklands