I will admit I don't have a lot of first hand experience with the 7 mag and factory loads but I am an experienced re-loader. For deer and antelope many people tend to use the lighter, soft point bullets. This is fine, but I would recommend you stick to a bullet with controlled expansion. the velocities of the 7 mag can do a lot of unneccessary tissue damage with bullets that are not bonded or have a thick jacket. I hear a lot of good things about the hornady line of ammo and personally like their interbond and interlock bullets. You can also find factory ammo with nosler accubond or barnes bullets. In your case, probably the most important thing is accuracy and you may have to try a couple brands or bullet weights to find what shoots best. Enjoy the shooting and good luck in pursuit of the goats.
I'd go with the Winchester 150 ballistic silver tip. I've used 150 grain nosler ballistic tip hand loads and these are almost the same thing. The 150 had a thicker jacket than the 140 and bring heavier will also be slower, which helps reduce blowups and increase penetration. Also has a better bc and does better in the wind than a 140.
I've used the 150 gr Nosler Ballistic Tips on deer and pronghorns with great success and reasonable meat damage when shots are properly placed. Used the 150 gr Swift Sirocco on elk successfully too...nearly identical drop chart. Just bought a Savage Long Range Hunter in 7mm so will see what it likes best. Will try the 168 Berger as an all around load.
In the spring of 2007 I was the unfortunate recipient of an injury cause by a damaged carbon arrow that shattered on release of the arrow. I was in the yard going to take a few practice shots before dinner and the second arrow is the one that did the damage. That day will forever be burned in my mind. After I release what happened I made mistake #2 I pulled the tail shaft of the arrow out of my hand causing more damage.
Thank goodness that my wife was home and was able to...