Prepare Green Egg as you would normally.
Boil noodles 6-8 minutes
Melt butter in sauce pan.
Stir in flower & stir untill golden brown.
Add milk. Stir until thickens.
Add cheese, and melt.
Add pasta to pot, and stir to coat with cheese mixture.
Transfer all to baking dish.
Cook in green egg for 30 mins or so until bubbly.
Note: you can also bake at 375 for 30-35 minutes and is is quite tasty as well.