As far as I'm aware the cheeses to be wary of are the ones that are 'fancy' like blue vein, brie, camembert (possibly feta) etc... normal tasty cheese or cheddar (Colby types I would think?) and cream cheese out of a jar should be fine I think. Even cottage cheese I think is fine as long as it's the prepackaged sort and not from a deli.
Please someone correct me if I'm wrong!