I'm not surprised you were tired in the end.
I agree with the idea of trying to be fair amd playing as many games submitted as possible. In the other game jams I've been in, including this one, I normally start with the list of games in need of ratings until everyone has some kind of feedback. It does mean that I don't normally get the chance to play the most popular games or the ones with the highest number of ratings, but I would rather walk away knowing everyone's games had at least someone else play them than there being a group of people that got no ratings or feedback. One of the submissions to another game jam I reviewed once was even a document for rules for a table top game they had come up with.