Well it depends on where you drive from. I suggest flying into Miami and driving from there. You'll get to see all of the keys because Key West is the last of the islands. Also if you really want a view try driving as the sun comes up in the morning. There will be no traffic, it won't be too hot and the sun against the water is beautiful. The thing is once you're there you won't have to drive your car because everything in Key West is walkable including all the night life. The only place you would probably drive to is the beach but good luck with parking. You can always rent a bike or a moped.
Here's a picture of the road to Key West
