The Bears only matter because they conceivably could create a three-way tiebreaker that would make our head-to-head win over Tampa Bay meaningless. But it's unlikely that the all of the right circumstances will happen to make Chicago a factor for us at all.
The ONLY way we'd have to worry about Chicago is if we beat Baltimore but lose to either the Giants or Eagles to finish 10-6 AND Washington wins out AND Minnesota wins at least two out of three AND Chicago wins out AND Carolina wins at least one more AND Tampa Bay loses to Atlanta and splits its final two games AND Atlanta loses at least one of its last two games.
That would leave us third in the NFC East behind Washington, Minnesota would win the North with Chicago second, and Carolina would win the South with Tampa Bay second. There would be at least four teams tied at 10-6: us, Washington, Chicago and Tampa Bay (Atlanta could be, too, but they'd be behind Tampa Bay in the South). The first tiebreaker would be between Washington, Chicago and Tampa Bay. Washington would win that (Chicago would be eliminated via conference record, and Washington would beat Tampa Bay via common games, 4-1 to 3-2). Washington would be in, and we would advance to a three-way tiebreaker with Chicago and Tampa Bay. If it was just us and Tampa Bay, we would win because of our head-to-head victory. But because Chicago also was in the tiebreaker, Tampa Bay would advance because of its conference record.
Now, if the situation was exactly the same except our only loss was to the Ravens, we would make the playoffs even if Chicago created that three-way tiebreaker with us and Tampa Bay. Chicago would be eliminated on conference record (we'd be tied with Tampa Bay at 8-4, and Chicago would be 7-5), and we would beat Tampa Bay because of our head-to-head win.