Well, I'm in Northern Ohio, so my closest track USED to be the infamous Cloverleaf Speedway in Valley View, Ohio. Great 1/4mile paved bullring oval that unfortunately closed due to rising insurance and land costs.
There's now a gravel pit and a General Cinemaplex where the track used to be.
However, thankfully there's still Sandusky Speedway (great paperclip 1/2mile, home of the Hy-Miler Nationals and the MSA Supermodifieds), Attica Raceway Park, Painesville Speedway, Lorain County Speedway, Mansfield Motorsports Speedway, Kil-Kare Speedway, Toledo Speedway, Fremont Speedway, Eldora, Sharon Speedway, and the list of tracks I can go to for great racing on the weekends within 2hours goes on and on.
And for the right turn crowd, there's Mid-Ohio Sports Car Course in Lexington, Ohio, Nelson's Ledges, and in July CART and the SCCA (including but not limited to, Trans Am, Speed World Challenge, and a host of others) are hosted at Burke Lakefront Airport right here in Cleveland.