RE: factory Hunting load for a 44mag rifle
As with any question of this type the final answer will be to use the loading that gives the smallest groups, and is suitable for the game. The only real way to find this answer is to purchase as many loadings as possible and shoot all of them. At the end of this process you will know your rifle better and know which loading to use.
I have the same rifle and use two loadings for it. I use only jacketed bullets in this gun, but lead cast may be in the future after deer season is over and I get time to play with it. I use Magtech 240 grain Semi Jacketed Soft Points. These give me acceptable accuracy given my limitations. I also have a box of Winchester White Box 240 grain Jacketed Soft Points.