I've only got one buffalo to my credit, so that's all my opinion is worth. I used the 300 grain TSX and it flattened my bull on the first shot and he did not regain his footing. I did put 4 or 5 solids into him to keep him from getting up. I am convinced though that if I had followed up with more TSX bullets instead of solids I would have needed to shoot less (and I had that hunch while shooting the buff).
Here is the inside of the buffalo. The hole you see in the middle is the entrance side of the shot.
And the bullet: