I found a super easy cheese sauce recipe that you can make in the microwave (or a double boiler, tho it's intended for the micro). Three simple ingredients: 8oz shredded cheese, 4t corn starch, and a cup of evaporated milk. Mix cheese and starch in a large bowl (I like a glass pie plate), pour milk over, and nuke in 2-3 minute intervals, whisking in between, until melted and thick. Done! The recipe calls for cheddar. The first time I made it for another recipe, I used swiss. This time I used Kraft smoky bacon cheddar shredded cheese. Here's the link for the recipe https://www.epicurious.com/recipes/food/views/3-ingredient-cheese-sauce#reviews
The hash brown patties have so much oil in them, I just dry fried them in a non stick skillet. Pushed them to the side when they were about done and fried a couple eggs over medium. Put the hash browns on a plate, top with eggs, then cheese sauce. Yummy!
The picture isn't very colorful, but shows the yumminess. Enjoy!