I think there are a number of suitable bullets available What works for me in my 243, might not be the best for you, but. I would start my search at 85/87 grain bullets. That is the range that might be better for dual purpose. In other words, the 100 gr. Sierra Spitzer might be great for deer, and I KNOW it is suitable for much larger game, as well, in fact, that's what I used in Africa on everything from jackals to Impala and warthog.... but is it the best choice for coyotes? Probably not? 70/75 grain bullets are awesome coyote killers, but I never tried one on deer? I have killed coyotes with bullets from 56 to 105 grains but the most reliable is the 85 Sierra spitzer and the 87 Hornady spire pt. and those two will handle most deer at moderate ranges. Fur bullets is another subject altogether, and if you shoot a 243, you might have to be realistic about damage, because it's going to happen. BB
edit: I just reread the post. I would disagree with "105AMax is the way to go".