In a bowl add about 2 tbsp olive oil and place pizza dough, then add about 1 tbsp olive oil to the top of the dough and allow to set out to rise a bit.
In a medium saucepan melt butter. Once the butter has melted add heavy cream and bring to a simmer.
Once the butter and heavy cream has came to a simmer add the garlic and parmesan cheese, whisk quickly heating through.
Using a pizza stone spread the dough out evenly and dock with a fork.
Spread about 1/2 cup of Alfredo sauce on the dough, leaving about 1/2 inch for the crust. You can use more or less depending on how much sauce you like. I like my pizza lightly sauced so I only use 1/2 cup.
Spread cheese and add toppings.
Turn on your smoker, I use a Traeger so I turn on to the smoke setting and allow the fire to establish (about 5 minutes). Then turn the smoker to high and close the lid. Allow to preheat about 10-15 minutes. Place pizza in the smoker and close the lid. Cook for 14 minutes, remove and enjoy.