Top Gear style time-trial rally?

Myself, as well as most of my family, has some kind of interest in cars. So, we were watching Top Gear and saw a Classic Time Trial Rally or something like that. We all agreed that it looked like a blast and would be a good drive to do. We currently live in FL..(I've already tried google, so please don't say that), but where would I be able to find a rally event like that in America (preferably as close to Florida as possible)