+100500 to luggers.
But we already have sloops of war and corvettes. Brigantines would be only a little different from Pickle or the brig, while sloops would be identical to the cutter, so far as non-specialists are concerned.
The ideal bomb vessel would be a ketch, and Chapman has a very interesting privateer ketch design familiar from POTBS. But on the whole, ketches were not a successful type.
Barque longues were French proto-frigates from the early 1700s and would be outclassed.