Buy a 15 round pack of both the Remingtons and the Winchesters. Set up some targets at the ranges you will be most like;ly to fire on an animal, and check group placement and size. Go with the one that performs best with your shotgun.
As far as 3 inch slugs go, don't bother with them would be my advice. I have hunted with 2 and 3\4 and 3 inch in the past, and the 2 and 3\4 will kill a deer just as dead. As to the more or less accurate claims, it depends on the shooter and the gun. With my 870, the difference is about a half inch at 50 yards, my wife's 500 is about the same, still well within minute of deer IMHO. Bigger powder charge and more velocity with the 3 inchers are the main difference, not really worth the heavier recoil at 50 yards and under IMO.
Basically, see what the gun likes and go with it.
Is it better to do the right thing for the wrong reason, or to do the wrong thing for the right reason? If you do the wrong thing for the right reason, is it still the wrong thing?
Si vis pacem para bellum.
There are two ways of doing something. Right and again.