Keep in mind that North Carolina has a very unpopular Republican governor and asomewhat unpopular Republican Senator up for re-election in 2016. If their popularity continues to decline to the pointwhere they are almost assured to lose re-election, then Hillary Clinton could have some reverse coattails that allow her to win the state by a better than expected margin.
From what I'm understanding, I wouldn't call Burr "unpopular." I think he's more anonymous, than unpopular. Both Senators from NC seem to be "Generic D" or "Generic R," so I think both of their fates ultimately get tied into the national environment more than anything else.
Your actually right about Richard Burr. While his approvals are slightly negative, a portion of the people who were polled expressed no opinion about his performance. To be honest, I cannot think of any pieces of legislation that Burr proposed during his almost 10 years in the Senate. Pat McCrory's approval rating, on the other hand, is only at 39%, with 51% disapproving of his job as governor, according to Public Policy Polling.