Pre-heat grill to 350 degrees F. With a four burner gas grill this can be accomplished by placing the two outside burners on high and shutting the two inside burners off. Coat grates with oil to prevent sticking.
Bring dough to room temperature and then roll out with floured rolling pin to about 15 inches.
Place dough in the middle of the grill and coat top with garlic oil. Cook until bottom is browned and flip. Coat top with garlic oil and cook until almost done(about 3 minutes).
Remove from grill and assemble pizza with prosciutto, tomatoes, mozzarella and fresh basil.
Return to grill and remove once mozzarella has melted, about five minutes. Allow to cool for 5 minutes before cutting.