IMO if your trying to hit the rut better off to come in bow season, but since you hunt with rifle guess that option is out, you can still get them being vocal in rifle season but not as much. That area gets hit hard at the first of the rifle season
with lots of camps, there was camps in all the main spots last year with some changing every 10 days or so. You just coming with your family or other people, there is a few spots that may hold a moose but you will be packing them out.
Opening day may be your best bet but would be there a few days before to try and have one located, if you don't mind the weather would wait till end of season and hope for snow and hopefully find some tracks to follow but again will
lead to a pack job, as gets closer to season will let you no if have seen any hanging around. Last year not as much pressure in bow season but soon as rifle season came lot more pressure.
Good luck