30$ would hardly pay for the board and chip set let alone the screen, wi-fi technology.. custom made boot loader and software to make it all work correctly. best way i could think of do this is use the core parts of a cellphone and try developing on a android operating system.. but even then the screen would not even be big enough for you to hang it on the wall and see.. i am more the capable of developing this but 30$ would be impossible.
so why not an easy app to alarm in your phone even you not at home?