I find some WG's will work earlier and later then their stated times. You've just gotta ask.
I've had one offer me a 5:30am punt when I was looking for an early punt. Also had one offer me a late punt an hour after she was due to finish. Others have said they have no problem starting earlier. The early ones I'd seen before so that may be a factor, you know, cos they loved my dick game....
Just search the area you want to punt, and get in contact asking about an early punt. I'm sure you'll find someone.