My cousin took his Toyota 4Runner to them for some pretty basic work...it didn't turn out well. If they can't handle a grocery-getter, I wouldn't trust them with a vette.
You probably looking at a couple hours labour at any shop @ $100ish/hour.
If you are willing to drive into the city, I've had good experience with John's United Auto Clinic. They are vette enthusiasts and are very fair. Also, I've had a number of my cars and trucks serviced at Wilson Niblett without issue. Their Corvette techs are excellent.