ZOMG!!!!! The Earth causes cancer!!
I thought this too, when looking up basic things when I was curious a year ago. It turns out, it is because of its alternating qualities that causes it to be (possibly) harmful to processes unknown in our bodies.
Electric radiation (volts per square metre) can be blocked by copper, or, er, tin foil, but magnetic (it's electromagnetic after all, right?) cannot.
There are highly permeable materials out there, one was mentioned Mu-Metal, much higher is Metglas whatever that is. From what I recall, the pricing of the sheets of MuMetal (which have to apparently be re-fired or something when they're molded to the desired shape) is not too far-fetched for $70 they're asking. It seems ferrites lay two orders of magnitude smaller in permeability. Not sure what they'd do to fields, or if they are good enough.
I remember joking about making a faraday-cage for both fields once, seemed a little pricy.
Also, I guess wifi is safe as it does not penetrate very far ... so as long as the case is insulative, or , brings your underparts far away from the laptop to prevent direct heat transfer - you'll do okay for wifi or .. heat. Maybe that's the secret?
Tiger.