There are Pirelli tires that will fit the ZL1 available from Tire Rack,
that I believe can be driven on in lower temps. I didn't compare. But these could be the same as the stock tires on the 2010-11 SS's. However, you'll give up some of the performance by switching. It is also stated that these are "Maximum Performance Summer" range tires, meaning that they are not designed to be driven in snow or on ice (Don't know of anyone dumb enough to do this!). No mention of not driving in temps lower than 40 degrees.
Sizes To Fit Your Vehicle
Click "View matching front and rear pairs". But sit down before you read the pricing!!