Were wind quartets common in the clical period?

I'm composing a piece for a small ensemble and I want to compose for wind quartet. I know that wind quintets were common but I want to leave out probably the horn because it's in F but would that create issues with the low harmonies as boon would be left a little on its own. I will get more marks for my piece if I compose for a common ensemble of the clical period and as a flute and piccolo player I thought a wind ensemble would be best so don't suggest a string quartet.