
I just got back from Wyoming and my 150 grain Nosler ballistic tips worked fine on mule deer although the shot was not far nor the deer huge. The bullets you are using should be fine. Have confidence in your bullet and practice at 300yards if you plan to shoot at that distance. Mule deer aren't really much if any bigger than whitetails. Not enough to matter anyway. The important thing is to make a well placed shot at whatever range.
Antelope can be very hard to recover if you make a bad shot.
Most of the time you are not making that long of a shot. In general, the animals are closer than you think. More people miss shooting over than under.
Just practice a lot with bullets you use at different ranges and you should be fine. Good luck