An Alpha Lycan would not be able to leave his or her pack. As it notes in the description they are the binding force of the pack and thus cannot leave for extended periods of time, if they were to do so the pack would disperse or find a new leader. I suppose I had better make note of that as you aren't the first person who's asked. An heir (an alpha's son) or a beta would be your best bet if you're wanting a lycan that is large in size which I'm assuming is why you chose to ask for an Alpha.