Depending on exactly what you want to say about the driver, you can use a bunch of different words. In my opinion speed-crazy driver is fine, or alternatively speed-crazy maniac (driver). In my experience I often hear the word "maniac" used to describe reckless drivers. You could also use the term "speed demon", which doesn't have as much of a negative connotation in my opinion. edit: Obviously, we also have the word "speeder" but that is used to describe someone who breaks the law by exceeding the speed limit and doesn't have much emotional attachment to it.

We don't tend to use it so much as an adjective. We have nouns like: Speed freak Boy racer (This is young people who drive fast)

The closest I can think of is a "leadfoot", someone who pushes hard on the gas pedal.