I personally don't flip. They're not a thick cut and for appearance purposes I try not to rest meat on the grates to avoid marks. This is definitely one of those personal preferences kinda thing. DO what works for you bro. Try a couple things and see what you like.
1 - 100 lb. self-made cylinder grill/smoker
1 - 100 lb. self-made cylinder smoker
1 - 20 gal. self-made grill/smoker
1 - 25 gal. self-made vertical smoker
1 - 120 gal. self-made trailer stick-burner