A well placed shot with a 30-06 is not going to do horrible things to even a small deer. Ok, well, it WILL do horrible things but if the shot is well placed then it WON'T ruin much, if any, meat.
I wouldn't worry about it one bit but if you do worry then just choose a bullet that is not going to be expanding explosively. There are plenty of good bullet choices.
Still happily answering to the call-sign Peetza.
You do not HAVE a soul. You ARE a soul. You HAVE a body.
He is no fool who gives what he can not keep to gain what he can not lose.
-Jim Eliott, paraphrasing Philip Henry.