I have gone through 3 .44 Mags and every one seemed to like the 240 grain hornady XTP with a rather stout charge of H-110 and a Mag primer.
As Steve in Pa said, it takes a heck of alot of range time to become proficient with a hunting handgun. I have fired many thousands of rounds over the past 32 years. I consider myself a "good" shot. I can hold a 6" group at 100 yards with my Taurus Raging Bull in .454 Casull firing offhand. I will not shoot at a deer over 50 yards without some kind of a rest.
The .44 Magnum is one of the best if not THE best handgun caliber for deer sized game. Just find your comfort level as far as distance is concerned.....Heck, Elmer Keith killed a muley at 600 yards with a .44 Mag handgun but I wouldn't even think about it.
All guns are different though. I would normally buy a box of Remington, box of Federal, box of Winchester, box of some other brand in the grain weight that I wanted...240 grain in the .44 Mag. See which one shoots the best and then try to find a load that shoots the same as far as velocity, bullet drop, accuracy, etc.
Then I will also find out which brass manufacturer wins out. But sometimes...............You cannot improve on the factory loads. Go with it.
Handloading drives me nuts.