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.
I see what other people have said but in my opinion these things aren't much of a problem especially if you have something like an argentavis as you cna pick them up and either kill them or put them in a trap if you have a trap built but don't have an argentavis my tip for you is to get a fast dino or if you are fast hit one and sprint towards your trap if your lucky you can get the whole pack in there and kill the ones you don't want hopefully this helps but I wouldn't try tame one super early game :)