I've been there. Here's what I did here in central Alabama. Both hands on the wheel, LEO says license/registration, I hand it WITH my pistol license. He looked at it and asked, "what you carrying"? I replied Sig P365, waistband about 2" right of my junk.
He wants to know how I like it and does it carry ok. Talked about 3-4 minutes and he handed my stuff back and said, "drive safe".