I know I haven't made very many cheeses, but to throw my two cents in, I use poly web disposable cheese cloth.
I have had no problem with any cheeses sticking. I think this is also what Sailor Con Queso uses.
Don't be fooled by the name disposable. I have used mine multiple times is still good.
I rinse in hot water and sterilize it with the no rinse product STERAMINE .