You should have quite a bit of space after $80 -- the NUC is more expensive than I expected it to be (I thought it was closer to 200 than 300). I do still encourage reaching out and seeing if they would at least like to take a stab at this. While I'm not the kind of mover-shaker that would be able to muscle this through, I think you could get some serious consideration. I can look into the proper channels next week also.
Oh and yeah, if you're installing stock Ubuntu you probably might not be able to do that... but maybe changing something small like setting the default home page to your distribution's thank you page? or something
Also, cool/catchy linux-themed T shirts will go a long way.