If this same scenario were mine, I would be ready to tag the animal, but before doing so I would call my local game warden and tell him the deal. I would also tell him that I am ready and willing to tag the deer, but wanted to see if he wanted to look at it or if there was a way for him to collect it for any sampling they may be doing or to help feed the hungry. If he says no to both of those, I tag the deer. That's ethical.
...and on that day when my strength is failing, the end draws near and my times has come, still my soul will sing Your praise unending, ten thousand years and then forevermore!