Accuracy is going to be up to you. Killing power on whitetails is all in, just gotta get it on target. Will anchor elk as well, assuming appropriate bullet selection. 100-130yrds is the tip of the iceberg with the 44mag.
The trajectory of slow flying bullets with poor aerodynamics (BC's in the low 0.2's) is what makes the 44mag and its kin difficult to manage at moderate ranges. Getting much downrange past 150yrds with the 44mag puts a lot of air under your bullet.
It's difficult to make load recommendations, since not all firearms like the same loads, but I've had pretty good luck on the cheap end of factory ammo with Winchester White Box 240grn JSP's and PMC Bronze TCSP's. Hornady 240grn XTP's do well, as do the 225grn Leverevolution FTX's. For a reloader, a Hornady 240 XTP seated in the cannelure over top 23.5grn H110/W296 has shot well in every firearm I've ever tested with it (over a hundred of them).