I previously had an axle-mounted sway bar and was not happy with it. It hit the exhaust and eventually pulled the hangars out of the floor pan, causing the exhaust to rest on the axle. So if you do get a sway bar, I'd go with one that mounts to the chassis.
That being said, I'm personally a fan of the Watt's Link. You can add one with some basic welding, and a good one is adjustable to dial in balance. Basically, it'll have the same effect as a sway bar, while retaining ride quality. Exhaust fitment will be more difficult, but not impossible. But having a positively and accurately located roll center is very important for consistent handling.
Other things you can try are raising the rear tire pressure, dialing in more front camber (1-1.5 degree for track duty or spirited driving), add caster, and most importantly adjustable shocks.
That being said, I'm personally a fan of the Watt's Link. You can add one with some basic welding, and a good one is adjustable to dial in balance. Basically, it'll have the same effect as a sway bar, while retaining ride quality. Exhaust fitment will be more difficult, but not impossible. But having a positively and accurately located roll center is very important for consistent handling.
Other things you can try are raising the rear tire pressure, dialing in more front camber (1-1.5 degree for track duty or spirited driving), add caster, and most importantly adjustable shocks.
