Well I can't answer to when the rut or call is for your draw zone but IME last week of sept - 1st week in october have been goodfor me here in sask. That said i have successfully called bulls outside these dates as well. If I had to pick the best it would be the first 10 days in october here (lower northern areas at least). My suggestions is being you have some connections ask when the call is prodimant in your draw area. Even though other factors areput into the mix when you can successfully call in a bull the rut happens each and every year and just like whitetails not always does the hunter see the signs or reap from the mating rituals.
Water and rut are like peas n' pot for moose...IME. Willows are always a staple when it comes to moose(if they exist in their main habitat that is).
Study up and if i can be a help I will..drop me an email if I appear AWOL.
Best of luck.