As has been stated by others several times - it does not matter much which bullet for a Southern whitetail deer with the cartridges mentioned as long as you stay away from the very light and frangible varmint bullets. Varmint bullets either kill almost instantly or leave horrible wounds that will kill the deer sometime later from infection. We had a fellow show up at deer camp one season with a 7mm RM loaded with varmint bullets. He shot at a couple of deer that we found days later - he was not invited again.

I do like Accubonds as a basic hunting bullet, but nearly any non-bonded bullet would also do the job for a whitetail. Bonded bullets work well and mono-metal (as long as the impact velocity is high enough for expansion) bullets will work well. Non-bonded "cup-and-core" bullets will work well as long as the bullet weight is in the normal range and the velocity is not extreme.

Whitetails are just not that tough.