Sometimes all you have in your cupboard is some peanut butter and cheap cheese. That's when you have to make do and get creative. I always had the tire-rubber cheese singles. They weren't even the name brand. They were a cheaper off-brand. When you pulled the plastic off, it would rip and you'd end up leaving some of the plastic on the cheese single. Those were the days. I'm sure that cheese wasn't what was meant to be used for this combination.
I could see a nice Spanish manchego pairing well with a Jiffy extra creamy. Look at me sounding all fancy. All you have to do to sound fancy is reference a type of cheese that no one normally references. Put a nationality on it to sound even fancier. A portuguese valdeon. A German winnimere. See?