To me the default color of cheese is a beige color. Basically that is a super pale yellow. A lot of cheese color depends on what the cows eat. Here is a more in depth article on cheese color: How 17th Century Fraud Gave Rise To Bright Orange Cheese : The Salt : NPR
If you are going for a cheese look, I say take a comical approach. Paint it it beige, and then simulate the holes of Swiss Cheese.
Here is a quick picture I did using Inkscape:
or
I think you get the idea. That would come across as cheese.
Then again, you do have CH33ZE on your plate and that's pretty cheesy so I think people would get the point of the color.