I've used a similar recipe for shrimp before, though I wouldn't call it my BBQ shrimp b/c for that designation, I've used only used a recipe very similar to the Mr. B one someone linked above.
However, I do like to simmer shrimp in a similar sauce/gravy type mix, with a few differences:
1 - NO Italian dressing. I don't hate on dressing as a marinade like some do; however, I don't put it anywhere near seafood.
2 - Louisiana Hot Wing sauce instead of the dashes of Tabasco. Gives a hot sauce kick while also adding the thickening instead of using Italian dressing for such.
3 - Good, healthy beer with some color like Sierra Nevada Torpedo or even Abita Turbo Dog instead of Miller Lite.
I don't know what I would call it, other than marinated/simmered shrimp, but it is tasty.
This post was edited on 3/18 at 3:42 pm