I took a picture of the welting I bought from Roy N. a couple year ago. The bead is .210" wide (same as what you "found") and the width is 1.7" from the top of the bead to the bottom of the welting. The total width is not very I my opinion. Not sown might be a problem. I suppose you could glue the sides together to keep the bead from coming loose. It is sown with black thread. Below is a picture of one end.
Rusty
