In my opinion the best two week season for calling is the Oct 1-14 season. The September 15-28 season can be good too, but that first week is a little early for good rut action.
You can also have decent success spotting and stalking in November, if you have a snowmobile and a pair of snowshoes. The key to the November seasons is finding where the moose winter. In some areas you can glass up moose until you find the bull you like, then snowshoe over to him and hope you can get a clear shot.
The panhandle is loaded with moose, pm me if you want any more info.