To answer your question..I have shot quite a few with my 25.06. They are not tough animals so either of your choices will work. The deciding factor for me would be a little more speed with a heavier bullet to buck the wind better. the 25.06 does that. Antelope hunting is not a long range game unless you want to make it into that. Of all goats I have shot the longest was 150 yards. That was after I shot at her 3 times at 65.(Kept shooting over her back)
Most were within a 100 yards.
We have been bow hunting them the last couple years with great success. Antelope is by far my favorite critter to hunt.