The bro hug should be reserved for just that- bros. I have no problem giving a good buddy a bro hug, or a full hug for that matter. But people I hardly know looking for a bro hug catches me off-guard and then its just awkward.
And FTR, no. I think a hand shake is a great way to greet someone. If you're worried about a handshake for sanitary reasons may I suggest this...