Try Remington Core-Loct 150-180 grain rounds. I like 150s for most deer, 165 for huge bucks weighing around 200 lbs, and think 180s are best for Elk-sized game. My son's Rem 700, 30-06, groups Core-Locts consistently 5/8" at 100 yards (Why the heck did I ever part with that rifle?).
Another good choice is Federal premiums, and Hornady premiums, but if your rifle likes Core-Locts, stick with them...they won't let you down by being too hard or too soft.
I used to like Winchester Power Points, but they're not as accurate in most of the rifles I've sighted-in for folks.
“God save us from people who mean well.”
― Vikram Seth