I was recently with one of my buddies (texas) and he shot a doe with a .243 and we ended up tracking it for about a good 300 yards and still never found it, even found pools of blood, with lung tissue in it. his neighbor found it the next day, it was a good lung shot but just didn't cause enough damage to bring it down quickly. i'd recommend a bigger caliber just cause i like to walk up to my deer right where i shot it not chase it 300 yards and have meat go bad. But that's just my one experience around .243.
I use a .30-06 to avoid the problem.