Why not have someone create a simple, private site which makes salient application information: a screenshot which may lead to the site's demo, video of founders, answers to questions. Then certain trusted people, partners or alumni, can rate the applicants over time. Instead of going days without shaving and being exhausted, you could spend a few minutes each day flipping through applications. Surely over time those you are interested in for an interview will be apparent. I'm pretty sure there was a reason not to use this approach, but it may be worth it to bring it up again.