Currently, for consistency, I load 165gn Nosler Silver tips. Years ago, they were the standard off-the-shelf loads everyone I knew was using. When I got caught unexpectedly heading for an elk hunt, I had no time for load development, so I bought a box of cartridges each for my rifles. My wife thought that meant that I liked them, so she bought me a couple boxes of bullets next time she went to Edmonton. Not sure they are better than my regular, plain jane, bulk Remington PSP bullets, but I can't complain about free bullets. They have taken a large buck and a large cow moose (I have yet to fire on an elk) but, then, so did a 150gn bulk cup-and-core bullet.
Lots of guys hammer the "heavy for calibre" mantra for moose and elk. Lots of guys push that elk are hard to kill so you need a magnum. You don't NEED any of this. What you NEED is steadiness and lots of trigger-time. I could never see the difference between 2 bullets killing differently. Dead is dead. How can the same 140gn 7mm bullet kill better than 150gn .30 bullet?
That being said, having shot moose with a 150gn cup and core bullet, I eventually used 4 rounds for a kill (had I waited longer, it would have been only 2, but it took us all day to get her out of the swamp) and last time, 3 165gn SilverTips were needed to keep her out of the thick woods.
I have dropped deer in their tracks with 125gn .30 bullets and last year tracked a huge white-tail buck for 4hours (my best tracking story) after being hit with a 165gn CoreLokt (supposedly a "Premium" cup-and-core). Not the best luck sometimes even if damage is tremendous.
Be sure of your abilities, OP, and the round you have will serve you for everything in NA.