You should have heard back within 24 hours for the second application too. You might have gotten lost in the system because it was the holiday weekend when you applied, or maybe the fax didn't transmit legibly. Who knows? You did make sure you gave them your email address the second time, right?
Assuming it's properly updated, as of right now, I'm seeing an opening for Rafferty Creek on July 18th, and a few others for Lyell Canyon (my personal preference) on July 4th, 5th, 12th, 13th, 17th and 20th on the full trailheads report:
http://www.nps.gov/yose/planyourvisit/u ... lheads.pdf
If any of those dates fit your schedule, both trailheads will get you up the hill to where you want to go. If not, go for a walk-up whenever you're ready.