I wouldn't really consider qunari to be a "beast race," even knowing a little about their connection to dragons. They are still very human.
Werewolves - can't see that happening as a playable race, because the werewolves of Thedas are handled differently than in some other lore. For instance, they can't ever shapeshift to a human/elf/dwarven form. They are in constant pain, so that most of them just become violent and berserk from it. And, werewolves aren't really a "race" so much as they're a "curse." Supposedly normal wolves could become werewolves. It's all about demons transforming them or possessing them--not something you want for a playable character, especially when it would mean being hunted down and killed.
That isn't to say that there isn't a legitimate "beast race" that could exist in the Dragon Age world. Thedas is big, and we haven't seen much of it at all. We've never crossed the Waking Sea, we've never been to Par Vollen. Thus far, the only race we don't know anything at all about is the fex; the rest are humanoid. But, across the Waking Sea, or elsewhere, there very well could be a few more races we haven't encountered or even heard of.
And yet, all that being said, Dragon Age isn't Elder Scrolls; the developers may not choose to have truly animalistic races in Thedas, and that'd be fine by me. I like them in the Elder Scrolls, but I'm not sure how they'd work in Dragon Age, lore-wise or even in terms of how people would react to them and treat them. If anything like a khajiit showed up in Fereldan, for instance, no matter how friendly it was, it would likely be killed under suspicion of being some kind of abomination.