As someone who hunted deer with a slug gun for the first 5 years in Virginia, and then finally got access to land to use a rifle on for the last 35 years, I am really really happy for you guys. It will literally change everything for you. One inch groups can now become the norm for you, instead of 4 inch groups. 150 yard shots can now be the norm for you, instead of 100 yard shots.
If you are use to the recoil of a 12 gauge slug gun, you will have no problems with a .444 Marlin, or a .45-70.
And, if your realistic shots are limited to just 125 yards, then the .44 Mag will be fine.
Great news for you guys!