I disagree with everyone on here so far that advises not using a bal. tip .243 round. I have a Ruger M77 MARK II and hunt coyotes and deer with a 95 gr. Winchester Ballistic Silvertip. If you were using a .270 or a 30-06 then I'd strongly say do not use for deer but for a .243 which is known for it's flat shooting accuracy and not knock down power you will be fine. Aim for the vitals and at worst you'll have the same damage a .30-06 user will have with core lokt ammo. Plus, I have had issues with Rem ammo for years and will not use their ammo when Winchester makes a more reliable and accurate round like the Silvertip Bal. I have done a comparison between Hornady, Federal, Rem and Win. Hands down the best performing round out of "my" rifle was the Win Silvertips. Second was Federal Vital Shock and last was Remington Core Lokt. Go to Bass Pro and check out ammo reviews. The .243 Win have a rating of 4.6 out of 5 with a total of 75 reviews. Remington doesn't have that many reviews if you add up all the diiferent types of ammo they offer. They have a rating of 4.7 with 43 reviews.
The best thing you can do is buy a box of each that you are interested in and go to the range with your cleaning kit and shoot each manufacturerround at say 50 yds. make note of sight changes between rounds and then go to greater distances. I also take about a dozen thick phone books taped together tightlyand shoot each round into the stack to determine penetration and damage. Ido this at 100 yds. It isn't ballistic gel but it gives you an idea of the bullet's capabilities.