Maybe YC already does this, but has YC ever considered accepting some applicants w/o giving them funding (or some type of partial funding)?
These accepted applicants would still be invited to all the YC stuff, but they would just be at different funding levels. This type of arrangement could increase the number of YC startups per round and subsequently increase the odds of finding a “home run.”
This, of course, assumes that the YC can handle more founders per round.