I too applied for a singleton permit, but I am now 0 for 2. I too thought being a singleton would help, but not really, as for any specific day, if there is an exact match in the number requested permits (including other singletons) left for a day in any application before you they will fill that last spot.
Anyway, if you just keep checking the reservation site you will likely see a spot open up that you can grab. Last year I grabbed a one-day for Saturday July 7 (way ahead of the date) and a multi-day ("overnight") for a Thursday in September (like the day or two before).
