A dozen companies with 1000 employees each and a budget of $2,500 per employee gets you $30 million, which is surely enough to get a decent, qubes-secure laptop with no ME. You aren't going to be designing your own chips at that point, but you could grab power8 or sparc or arm.
Are there companies that would reasonably be willing to throw in a few million to fund a secure laptop? I imagine at least a few. And maybe we could get a Google or someone to put in $10m plus.
Intel just decided to clump it all together. and it doesn't even fully address the two main corporate requests.