I know what you are thinking, Nate that is just crazy talk. You can't run a Linux distro straight off the cloud. At minimum you need a Linux machine to remote desktop or ssh into.
Welcome to the future. Recently I was playing around with Terminal.com and its pretty cool. There are many linux CLI based configurations that run entirely in the cloud. I opted to take XFCEWeb Desktop for a spin.
The XFCE Web Desktop came with 1 CPU, 1600 MB of ram, and a 10 GB hard drive. Not to shabby for $0.062 a
I actually think this is the future of Linux desktops.