There is no character in the Bible specifically called a "reckless driver." However, there is one account that might evoke that image:
* Jehu: He was known for his fast and furious chariot driving. 2 Kings 9:20 says, "The lookout reported, 'He drove like a madman!'" While the Bible doesn't explicitly call him "reckless," the description of his driving style certainly implies a lack of caution and excessive speed.