Label tape?
I finally found what I was looking for and love the way it sews out. Basic twill tape. The cotton type is a bit difficult to find although it was at JoAnn's on a roll. Limited in widths. Wright makes a twill tape, again difficult to find various widths and it is prepackaged. It is a polyester twill, much lighter in weight than the cotton and isn't bad on the stitchout. I do like it better than grosgrain.
It's kind of fun to play with the different types and see what a difference it makes in the finished product.
I've been using paper backed tear away sticky stabilizer. I just read somewhere that it may also work to hoop a piece of clear vinyl and cut a window, then add the sticky stabilizer. Guess that's my next experiment!