Cast bullets work great in the .44 mag for deer and hog hunting. Make sure they have a flat nose (meplat); "wider is better" as the commercials used to say. Bullets need to be hard enough to be pushed at full magnum velocities if you choose to load to the top end. A gas checked bullet will be more forgiving.
Check out any of the Beartooth offerings. Tab at the top of the page. Good luck!