I would stick with your 44 mag redhawk. Get some hardcast bullets and do some practicing at relatively close range (15 yds). You should be fine. The holster choice will be important. Look at Diamond D shoulder/chest holster or something similar.
I would carry my S&W 4" 41 mag with hard casts for the purpose you mention unless I just happen to buy a Ruger Alaskan in 480 Ruger as I hope to in the future.