I lol'd when I read this. It made me think of Hyperbole and a Halfs "Sharkbear" which is 7000% deadly! :D
I would go with a bear. I've always wanted to hug a bear, and being attacked by one would probably be the closest I would ever come to hugging one. Plus, I might touch it's soul in the hug, and in turn it may spare my life.
However sharks are not huggable at ALL. And I'm pretty sure they don't have a heart, and wouldn't care if you wanted to hug them. They're just mean, and weird looking, while bears are furry and just grumpy sometimes.
I'm sorry if any of that doesn't make sense. It's an hour and 42 minutes past my bedtime!