In a large stockpot, bring generously salted water to a boil. Cook pasta according to package directions, to al dente. (One minute less than package directions.)

While water for pasta is coming to a boil and pasta cooks, begin making the cheese sauce. Over medium heat melt the butter. To the melted butter add the flour. Stir together, and cook for about 2-3 minutes, or until the mixture comes to a low simmer. In the microwave heat the milk for about 3 minutes or until very hot. Add the hot milk to the flour/butter mixture, and stir with a whisk. Increase heat to medium high. Continue whisking milk until is begins to thicken, about 5 minutes. Once it starts to simmer and thicken, add the cheeses (remember to reserve 1/2 c. from each package for the topping.) Stir until the cheese melts.

In the microwave, add the broccoli florets to a microwave safe bowl. Add about 1/2 c. water and steam for about 2 minutes on high.

To the cheese sauce add the diced ham, steamed broccoli, and the cooked pasta. Stir together until all ingredients are incorporated. Top with the reserved cheeses. Remove from heat and add a lid to the top cheese melt for a couple minutes. Serve and enjoy right away.