Bee is a master swordsman. Probably the best in the manga thus far.
He'd fight the puppets himself with his kenjutsu.
Or,
Note how Orochimaru's Sword of Kusanagi couldn't penetrate Naruto's 4tails cloak. If a sword that could hurt diamond-staff Enma (who is as hard as diamond) couldn't penetrate Naruto's unrefined 4 tails cloak, I don't see how any of Sasori's blades could even scrape Bee's fully mastered Version 2.
Bee wins.