Yep, .243 would be best, I've killed over 200 deer with mine through the years...

If legal, a .223 or 22-250 will also get the job done...I used a 22-250 back in the 60s and 70s for population control on our farms...Blood trails were sparse but they didn't go far with lung shots and dropped with neck shots...Now that you can get a 60 gr Nosler Partition for them they are much more potent...My niece has used one for the past 10 years and I've seen the damage they do...With high shoulder shots, she gets exits and the deer drop...She has killed a couple of dozen with this setup and hasn't lost any...