Take a distribution that you know, do a minimal install, then install your app and its dependencies, xorg, a lightweight window-manager like IceWM, JWM or one of the *boxes, then customize it to your needs (menus, maybe themes or an autostart for your app). If you are done make a live-CD from it, reagarding to your distro you have different choices like remastersys, live-helper, linux-live, ... .
At all, I have done something similar with Debian, it was not very difficult.
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