Pretty much all ^ is ovethinking for antelope. You can drop them just fine with a wiffle ball. Strong language and dirty looks has a reasonable chance at putting meat in your freezer. I'm honestly not sure how they survive a mild rain shower in the middle of summer. Honestly if it goes 'bang' it's more than enough to drop a goat. Just make sure that there isn't a 2nd animal behind your first, the bullet will not stop. Other than that literally use anything you want and you're fine.
The last few I've taken have been with 100gr or lighter 25-06 at ranges past 400, still havent recovered a bullet even when I used really really cheap ones.
Starting this year .223 is legal for them. My mom wants to go hunting for the first time in her life and isn't physically capable of noticeable recoil, planning on loading some 'heavy' .223 rounds for her.
Since we're talking goats, I did my first ever in my life trophy mount last year. Taxi finished him several months earlier than I expected. Cell phone pic yada yada.
All my trash talk aside, they are actually insanely interesting animals. The last of the species and physically designed to get away from predators that went extinct centuries ago, vision that is comparable to a person with 20/20 looking through 8x glass etc. But they are an easier hunt than rabbits and prairie dogs. Personally, as long as I don't look like I'm hunting them I've walked to within 30 yards of them in full view, watching them watch me the entire time.
You can't *always* do that, but I've done it more than once in the middle of public land during hunting season. And I've STILL never been able to take one with a bow!