@Great Makohead Shork nice post.
Nashville has never drafted an elite center. Have to think they'd go Misa or Hagens. They are also loaded with goal scoring wings- Forsberg, Stamkos, and Marchessault. By D+2, Hagens could probably be a legit 2C with those guys, and may just help them re-open their window. I expect they'll pull themselves out of the bottom 5 however.
I'd see Philly doing the same thing to have a C to play with Michkov. They have some quality young D but no one at Schaefer's level. Briere cited strength of D prospects as reason for not taking Buium, however he has the same agent as Gauthier, so that may be an equal or more accurate reason. I think they're more desperate for a C, but it's close. Martone would be a great Flyer, but the one position they have nailed is RW- Michkov, Konecky, Tippett.
My guess is Pitt would opt for a forward due to faster time to NHL value, and to give Sid something to rejuvenate him.
Chicago, IMO, has to go forward. Even with Levshunov, Vlasic, Korchinski, Allen, and their other solid young D (+Jones), Schaefer would be their best D. However, can you really look to Nazar and Moore as your long-term support for Bedard? They will invest in free agency again (they'll go big game hunting), but I really think you need to get Bedard his running mate for the decade.
Habs are tricky, they have everything but a franchise center and a franchise d-man. If you can only get one, I think you opt for the center, but maybe they convince themselves Suzuki is good enough?
I agree Anaheim would go BPA. Carlsson, Sennecke, Gauthier, McTavish, Mintuykov, Zellwegger are two excellent players at wing, center, and LHD. They need RHD. If they end up outside the top 6 I wonder if they'd go off the board with Mrtak, Hensler or another one of those guys. That said, I think they and Montreal are the most likely threat for Schaefer.
CBJ could go with any of the four, Schaefer probably fills more of a need, though they do have Werenski. Hopefully they stay outside the bottom 5.