My 2004 CTS (basic v-6) died

Was car over heating?

No - not at all. There was a burnt smell after the smoke appeared.

I had an issue with a coil pack that did the same thing to me, but mine would start back up and then start smoking badly. I replaced the coil pack and plug and then later all the coil packs and plugs and it drove fine. Once you replace one, they will all in a row start going.

Put it on a computer and see what error message it sends