I also have 97 Camaro and 08 Mustang right now I don't recommend driving eather one in snow they both suck I drove 08 once in snow it sucked, but used to have 95 gt daily driver and did two 50lbs sand bags trick it helped a little but not worth it and no it did not rust it was kept outside to.
Ya, my 99 isnt great at all.....OK it can suck (esp with no traction control), but it is usually doable assuming there isnt tons of snow. When the city does its job and clears the snow, I have not had problems. Just have to drive carefully.
The Mustang has to be better with the traction control. I will probably just get snow tires for winter.