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Not sure what rims you are running, but if you have wide rims on the rear, they will do poorly on snow and ice especially if you have a performance tire. General rule of thumb, skinnier tires are better on snow and ice, and a snow tire will only make things better. Many people who drive their f-body year-round have a second set of winter rims for this reason, and also so their nice rims don't get messed up from whatever may happen along the way.
Also like you said, weight added to the back of the car will probably be the best thing you can do.
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