If you want to go around corners there's 2 options well worth looking for.
The first (and easiest) is the WS6 Firebird. The WS6 package got uprated springs, shocks, sway bars, and real Ram-Air induction for a nice power boost. The WS6 package was available on both Trans Ams and Firebird Formulas (which are basically V6 Firebirds but with the LS1, think lightweight stripper model). Formula WS6's can often be found in true hardtop form and are the lightest/stiffest of the breed.
The second (and holy grail) option is called 1LE. There's no way to identify a 1LE car visually except for the build sticker of options (usually hiding behind the hatch plastics). 1LE was available on all V8 Camaro and Firebird models (Z28, SS, Formula, Trans Am, and even the SLP-modified Firehawks). Depending on year they got goodies ranging all the way to huge baffled fuel tanks for endurance racing.
Another option is the Police-Spec B4C Camaros. These were used by the Highway Patrol in many states (some still have them) and although they don't feature much "special" they were all cloth seat/hardtop/zero option cars making them nice and light as well as stiff. Most were given rollbars and taken very good care of.
The 4th Gens in general are well-handling cars and flyweight compared to today's muscle cars. There is a huge aftermarket and a lot of suspension upgrades available. Huge wheels/tires bolt right in and you can have 305-1000+HP as you desire. My next car has a 90% chance of being a 4th-Gen F-Body...