Lime Rock is a little drive from me, but I enjoy going there every so often to catch some of the "minor league" races.
Lime rock is cool for road track stuff. You are not too far from the old Danbury Fair Racearena, and Stafford. Middletown, NY runs dirt cars n Saturday nights, and Lebanon Valley is probably less than 1 1/2 hours from you with the best all around racing program in short track dirt I have ever been to, and that is hundreds of tracks across the country.