In a medium saucepan, melt the butter completely and whisk in the flour to make a roux. Allow the roux to cook for about 2 minutes while continuously stirring.
Add the milk a little at a time, whisking constantly, allowing the mixture to blend and thicken slowly. This will take about 5 minutes.
Once it's cooked through, add your nutmeg, red pepper flakes, salt, and pepper. Whisk to combine.
Add your Tillamook Cheddar cheeses to the mix and melt until completely incorporated.
Remove from heat, and serve immediately with accouterments to dip like apples, bread, broccoli, tomatoes, and grapes.