Preheat oven to 400
Put your chicken on a baking sheet lined with foil
Drizzle the chicken with olive oil and the seasonings
Bake for 25 minutes.
Grab a large pot, fill it with water and bring to a boil, add your pasta and cook until al dente
Wash and cut the broccoli heads into little bite size pieces
Steam the broccoli until it is barely tender, it will continue cooking even after you pull it off the steam
Drain your noodles
Grate the cheddar cheese, parmesan and cut the velveeta into cubes
Grab a pot (I use the same one that I used to boil the noodles) and put it on the stove over low/med heat
Add the milk, cheese and pepper, whisking to incorporate until you get a nice smooth consistency
While this comes together shred the chicken and it to the cheese mixture
Dump in your noodles and broccoli
Combine this gently, you don't want to disintegrate the broccoli
Add a couple extra splashes of milk before you serve it (it will start to thicken).
Spoon the pasta into a bowl and top with freshly grated pepper and if you want a little kick, add some red pepper flakes, it's awesome!