bubble wrap or peanuts inside a computer for shipping?

I was entertaining the idea of taking out the pci cards and HDDs before shipping my PC 2100 miles.

But decided everything was held pretty tight inside the case.

So, to keep the heat sink intact and everything nice and secure I was thinking of filling the case with bubble wrap or peanuts…

Good Idea? Bad Idea? what about static? bubble wrap or peanuts?

Thanks