Not sure what you want this stuff for but some years ago I got hold of several sheets (random sizes approx. pallet size) of MDF covered both sides in a very thin laminate which I've been using over the years mainly when making jigs & the like. This stuff was packing from a laminate flooring company I happened to be passing, I think the place was in the Cheetham Hill area of Manchester and the stuff was free, they were glad to get rid of it.
There must be many other places with similar scrap they would be glad for you to remove for them.
Hope that helps,
regards
Brian