Seriously, either will work very well. I'd tackle any deer with either. I doubt you'd ever be able to tell the difference between them. Just pick which ever one trips you're trigger and be prepared to get your hands bloody.
I have shot many deer with .308 150 grain CoreLocs I have lost count. Or if your gun prefers use 150 grain WW powerpoints. Once you get below 24 caliber is when you need to start worrying about which bullet you use on a simple deer.