I don't really understand the context of the question, but here are some ways we talk about 'driving slowly' here in California. My preferred driving style can best be described as 'slow-speed driving'. Please drive slow, children are at play. That person (or instead of 'person' insert a derogatory term for a person here) is driving too slow! Sunday driver?! Speed up! Drive faster!! I enjoy a slow drive through the countryside on a lazy Sunday afternoon.

No. Driving slowly is better

You certainly could, especially if you're describing an area where people drive slowly. On the other hand, if that's a request or demand, "drive slow" is simpler and clearer in my opinion.