BARBECUE was inspired by the font BARB, illustrated in the great Dan X. Solo books from Dover. It’s in “100 Ornamental Alphabets” and in the “theme, topical” section of the “Solotype Catalog.”
Other than that, I know nothing about Barb. To me, it has a Western feel, wide-set like a wood type, spiky like barb wire.
I’ve recreated the caps with a few changes, and added everything else.
Includes upper and lowercase, numbers, punctuation, and international characters.