[I'll disagree with the .243. While yes, it is a suitable deer caliber it can also be a deer wounder in the hands of an inexperienced hunter.]
So can anything else.
I have killed deer with a .243, .270, .300 Wby, and 7MM Rem Mag.
The .243 has as high percentage of in the track kills as the other cartridges. I have killed 2 antelope with it at slightly over 500 yards without any difficulty.
Of the OP I would go with the .243.
Ecclesiastes 12:13 *¶Let us hear the conclusion of the whole matter: Fear God, and keep his commandments: for this is the whole duty of man.
14 *For God shall bring every work into judgment, with every secret thing, whether it be good, or whether it be evil.