Your 7mm Rem mag ruger will serve for all the large critters in the Yukon. You may want to consider adding a dedicated mountain rifle, a couple pounds lighter makes a difference if chasing sheep and goats. You don't need anything larger than your 7mm for moose or bears, but I have a personal preference for the .35 Whelen / 250 gr. and the 9.3x62 / 286 grain for the big stuff. Big wood bison bulls can make a 7mm look small even though a 7mm / 175gr. load is considered by most to be adequate and is legal for bison.
Your 12 ga would be good when you need bear repellent but are not hunting them. That 18" barrel is also serviceable for grouse, but the longer barrel would be better for wingshooting. To hunt geese and ducks, your 28" barrel and interchangeable chokes is good choice. A 20 ga. double is made for grouse and pointing dogs, and you will get plenty of grouse hunting opportunities. Your .223 varmint rifle would be OK for calling winter coyotes and wolves, but a .243 is a better wolf cartridge and a heavy barrel rifle won't get shot enough to justify carrying all that weight.
I find a .22 rimfire magnum is more versatile for small game than either a .22 LR or .17HMR. A rimfire of some sort is a good addition to your battery.