I want to be able to send 10 rounds down range without it starting to walk. I shoot my savage and the first shot with a cold barrel is low left. The next 3 are on and then after that it starts to walk. I would like a rifle that will be on target first shot and can stay on target if I shoot 10 in a row.

By "fast" I mean 1-3 a minute. I have an AR for rapid.