If you are looking for a complete set of plans, that's unlikely.
Seems like the best way to build this would be with a micro-controller driving four (multiplexed)display drivers for the LED displays. The µC can perform all the timing and control functions as well as controlling the displays. It can be controlled from a keypad or custom set of keys. This all will require a reasonable amount of custom software, of course.
The µC can also generate the alarm since most have a way to generate various sounds. This could drive a simple IC audio amp and speaker. A pot at the amp input can control the volume.
The power supply can be a commercial battery charger IC designed for the particularly batteries you are using.