The only problem I've come across by taming away from the alpha is them jumping out. Drop them in a pit. Put a ceiling on it. Have multiple doors and windows so you can still see the direction it's facing(I use greenhouse windows on it), I always tame the alpha by taking it away from the pack. I want the highest level. I just go in the door at it's back and to keep it from running I have ghillie gear and stay behind it like a dung beetle.