[KenWittlief]

the price (value) of any part on your robot is the price that anyone else will be able to purchase one just like it, so that every single team could obtain one (if they wanted to) at the same price.

So unless you know someone who is willing to 'sell' about 1000 laptop computers (used or otherwise) for the same price, the answer is no. Donated or dumpster-diver parts are not allowed.

You might be able to find a small single board computer (S100 for example), or possibly something like a PDA within the price constraints, then port your code to that platform.