NFC teams with limited picks would be good trading partners:
Min (4 picks, 3 left)
Wash (5 picks, 4 left)
Atl (5 picks, 4 left)
Ariz (6 picks, 5 left)
TB (6 picks, 5 left)
All of our round 5 and 6 picks totals ~90 trading value points... that gets you to bottom of round 3 ish.
Min #97 (112 pts)
ATL #101 (96 pts)
Little crazy, but I would do that. Bills would end up with 30, 56, 62, 101*, 109, 132
*For instance... if we traded all 5 of our round 5/6 picks to Atl