Tiny market
"...Linux-running..."
Without passing judegement on Linux per se, my guess is that the perceived market demand for such a thing is simply way too small to interest any large manufacturer.
But market perceptions have a nasty habbit of being wrong. Remember IBM's estimate that there would only ever be a need for 5 or 6 computers in the whole of the US? What a mistaka to maka!
I'm hoping that whatever MS are upto with ARM will result in an open ARM platform just like the x86 platform is at the moment. MS bought an ARM foundry license, (a *lot* of wonga) so it seems they're hell bent on building an ARM platform of some sort.
Microsoft, and latterly Linux, benefitted enourmously from IBM's architectural openness that spawned the whole PC ecosystem. MS have some form in this area too. The PC'97 -> PC2001 series were sort of along the lines of an architectural spec that served to standardise PC hardware. That definitely served MS's commercial purpose - they could sell more Windows licenses as a result. It also helped other things like Linux too for the same reasons. Maybe, just maybe, MS have decided to try pull the same trick with an architecture based on ARM.
MS commercial interests to do so is that they could spawn a whole new major round of platform evolution just like IBM did back in the 1980s with the first PC. I think that their purchase of an ARM foundry license is evidence that they're aiming to create a whole new ecosystem, from server -> desktop -> mobile.
Whomsoever successfully pushes ARM into the server market stands to make a shed load of money. Those datacentre operators are desparate to reduce their electricity bills, and they'll spend big on hardware to do so. Energy costs, as well all know very well indeed, are king.
I wouldn't mind betting that MS have worked out that by defining the hardware they'll be in a good position to sell a very large number of software licenses too. The implication is a substantial replacement of the PC computing world as we know it, not just annual incremental sales. All that MS and the hardware vendors have ever sold they get to sell again, in ARM form.
Of course, if Intel actually stumped up a decent low power chip that would mean the world would just continue with incremental license purchases rather than complete replacement. That wouldn't make MS anything like as much money. Essentially I'm arguing that Intel's failure to produce a proper low power chip is an enourmous once in a lifetime commercial opportunity for MS.
It's a very large market to aim for, it must surely be tempting for them to go for it. And if it makes their mobile strategy work too, so much the better. And where there's servers, there'll be desktops and laptops, and also Linux devs who'll inevitably work out how to penguinise it.
Anyway, assuming that I'm foretelling with accuracy, your quest might be successfully pursued merely by sitting tight and waiting for it to happen, perhaps sooner rather than later. The only loser would be Intel, and they won't be happy at all.