I’m with PawPaw on the big lead slugs. What I use for both my Super Blackhawk and my Ruger 77/44 are 320 GR SSK's from Penn Bullets.
You need to be smart on the bullet drop but it’s an amazingly accurate round.
I want penetration with as little damage to the meat as possible. These big elephants don’t do much meat damage but the energy drops them in their tracks.
http://www.pennbullets.com/44/44-caliber.html