Tim, as long as taking the boys on Saturday is convenient - even desirable for you then by all means do it. But if you can get another day or three that is better for you, go for that.
I don't have the same concern as you do with zero contact, but I can guarantee if the WW wants something on a Friday, then Tuesday it is! I'll even rearrange my schedule.
Me: 58 Her: 59 Kids: 0 Dog: 1 ILYBINILWY: 9/15 D Bomb: 1/11/16 (found out filed) Verified OM: 1/11/16 Moved out: 1/11/16 (thought it was temporary)