I should have thought of the toothpick trick, worked perfect. Interestingly enough, the shorter plug is near enough to the same length, and the stock ones are long. I guess it does not matter that much if the barrel is exposed.
timelessbeing, A DC power plug is a barrel plug, I thought it was pretty standard terminology since Digikey, Mouser, and every other store I looked at used it. And no, they are not expensive, at least not compared to the shipping or the Hirose connector that the device uses.
Thanks all!