Yes, you must become a werewolf. I like the disease immunity so much that I willingly give up the well-rested bonuses from sleeping.
To elaborate a little, you don't need to get all the way through the Companions' quests to get Aela as a follower, only their main quest line. You also don't ever have to be a werewolf, except when you first get the beast blood. I never use the werewolf power, tbh. I just don't see a good-enough reason to give it up.