Here's another $.02. The 7mm/08 Rem. is a fine round for deer ... of any size. I have seen 300# + mule deer dropped cleanly at 250-300 yards ... no problem. So killing a pig of a norther white tail is not going to be the issue. Bullet grouping is.
There has been a lot of advice on which manufacturer and bullet and bullet weight that you should use. None of it is bad advice, but I want to add a twist.
You would be wise to try as many different manufacturer/bullet type and bullet weight combinations as your pocket book can manage. Keep the bullet weight in the 130 gr. - 150 gr. range. Every rifle I have ever sighted in has preferred a certain load or loads over others as far as tight groups. This has been known since Moby Dick was a minnow. I offer a particular example of a BAR in 30.06 Spr. that is owned by one of my best, and most frequently hunted with buddies. He initially sighted in his with a very popular factory ammo. This ammo would not group better than a miserable 5 MOA! He was dispondent to say the least and was convinced that he had a dud BAR.
I made this same suggestion to him. Admittedly he went overboard and showed up at the range next week with 12 different boxes of factory ammo. He insisted that we shot 3 shot groups with every one of these, even though we had a winner out of the fourth box tried. We got groups from absolutely miserable to darned near perfect. At least 6 of these ammos grouped very good to excellent, while 2 grouped horrific, with one of those "key holing" at 100 yards.
His happened to "like" one of the "premiums" that was loaded with a 180 gr. Nosler Partition. It grouped a consistent and a solid 1 MOA. Which ain't bad !
So, try several and I think you will come across a great grouping round. Once you have that one identified, head back and buy a few boxes out of the same lot number. Usually all will shoot about the same with in a particular lot.
As far as penetration .... I am old school. Ain't nothin' wrong with a Nosler Partition. Hard hitting. Super penetration. And excellent mushrooming to about 2X the caliber.