Gary,
There was a gentleman at our hunting camp in Texas that used a 35 Remington, but in a rifle. He used it on a 75 lb. Whitetail doe at about 50 yards under a feeder. I don't know what bullet he used, but he shot the deer behind the shoulder. IHe said that it ran about 80 yards and dropped.
He also used the same gun on a 50 lb hog under the same feeder in the afternoon. He said the same thing happened. The hog ran at the shot for about the same distance, and then dropped.
Now your gun is not a rifle and, as such, velocity and power will be less, but I think that if you keep your shots under 50 yards, and if you keep the shot off of the grisle plate, then you should be fine. To be on the safe side, however, I would recommend that you use premium bullets in your TC like Nosler Partitions or the Barnes X bullet. The X bullet will be too premium for deer, but perfect for hogs. On the other hand, the Partition will be a very good compromise for both animals.
Zachary