That 14" 44 magnum with the right load & scope will handle the animals you mention quite easily out to 150 yds or so if you are up to the task. You might think about a compact variable scope so you are covered both ways, close & long distance.
The 10 grs of Unique that Gregg mentioned worked great for me on a muley buck last fall at 64 yds with iron sights from my OM 44 flat top using a 250 gr cast HP as he walked straight towards me. Found the bullet up against his left hip bone. Your gun is far superior to mine.
I'm wondering what I'm going to do. The red dot I'm using has a dot way to big for accurate shooting past 50 yards. Groups are doubling ever 25 yards. It is a very large dot. Can't find the paper work on it cause it's so old, but it's at least 6 moa.
I like the red dot concept, but it's not going to allow me to take full advantage of the handgun.
I'm going to look around and see what I can find.
Does any one have any other suggestions?