Hi there,
Nice project, wrong budget.
Nobody is going to develop hardware, write firmware, and deliver a working product for $250 (CAD).
First, I bid the absolute minimum that I'd require to even start looking at this. I suspect most people who actually have the capability to make this would bid similarly or higher.
Second, there's zero reason to use "Atmega2560" in 2016. The chip is $10 in single qtys, is slow, is ancient, etc etc. Equivalent STM32s with hardware PWM, etc are 1/5th of the cost and much easier to code for, as they actually have the RAM and hardware to do graphics etc.
For example, you could probably code your entire thing (including touchscreen) on a 32F429IDISCOVERY ($30-ish, not available anymore) or 32F746GDISCOVERY ($50), and just hookup your power led stuff to it.
However if you want an final "product" with everything integrated on one PCB, you're not getting it for anywhere near $250 (and likely, not less than 10x that).