I have my miners running on a couple of different micro type systems.
The Udoo mini computer (was a kickstarter project) works great. I bought both models, they are both fast and stable with a linux distro running cgminer. They will also run android if you want to do something with them after they are done mining.
http://www.gizmag.com/udoo/27099/I also have a Cubox-i running linux for a set of miners. This one cost a little more, but is a nice unit that runs quite and can handle being an xbmc box while running some miner software in the background. Solid-run just announced a cheaper product that will be more like a pi called a hummingboard. I think they might be taking preorders for them, but the cubox-i is out now and works well.
Good luck.