If you want minimum meat damage, a dead deer and lotsa penetration should the deer not cooperate and stand broadside, go with Barnes.
The TTSX or TSX will not blow up on bones in close and almost always (99.9%) make two holes to let out more blood if tracking is needed.

You also won't be stuck with a lot of expensive lead core bullets when the ban happens on all lead bullets. (it a'int just Condor country!)