I missed the 8208 part of your original post. You'll need to invest in different powder that is much slower on the burn rate chart. H4831 is a good powder across the spectrum of 7 Mag bullet weights.
FWIW, I keep multiple different bullets on hand and usually have several loads worked up for each rifle. If you've got a line on a good deal on 139gn, I'd pick them up and develop a load for them. You might lose some effective range, but we're talking 500yds+ and they'll drop a deer as far out as you can hit him. The 162s are better in the wind and will carry more energy downrange, but they'll also have a little bit more recoil. The difference in recoil between 160gn Partitions and 140 Ballistic Tips is noticeable with my 7WSM. I have the 140s for deer and the Partitions for elk. I got a good price on a lot of the 140s so I use them for trigger time on the rifle. The fact that they recoil less is an added benefit.