.44-40's with LRN or, at best, LFP bullets have probably killed more deer than any other cartridge except .30-30, so I'd think that a .44 Magnum loaded with any decent 240gr JSP bullet would be plenty for deer. Were it me, I'd load the gun with whatever 240gr JSP proves to be most accurate.
Smith, and Wesson, and Me. -H. Callahan
Well waddaya know, one buwwet weft! -E. Fudd
All bad precedents begin as justifiable measures. -J. Caesar