Pittsburgh: obvious reasons. If the goaltending issue can be solved, they will lose a good forward or Pouliot anyway, so there's literally no way of winning for them.
Chicago: Another hit to their already thin depth. It's the logical choice, and the right one as well, but that depth is much needed. They lose exactly what they need, and of course it's a bad situation.
Anaheim: Bieksa's buyout isn't even enough to save them from losing something good or something cost effective. And as Bieksa isn't waiving, that buyout will hinder their squad one way or another.
Colorado: You don't want to make the ROR trade and the LHD depth look bad by losing Zadorov, but you also don't want to give up one of your few capable forwards in Söderberg/Grigorenko. Or, if they so choose, lose a very good goalie, which I don't believe is going to happen. They have a big player to lose in all three positions.
NYI: Five defensemen to protect, with all kinds of problems at forward. Losing Strome or Nelson will sting, unless one of the defensemen (CDH?) is sacrificed at some point before the expansion.
I don't think Tampa is in trouble. Bishop is walking regardless, and Killorn's long term deal makes him an attractive option for Vegas, so he will be the one who's sacrificed. Then it's just about making the cap work for other RFAs. Minnesota is probably accepting the blow and giving up one of Scandella and Brodin. Deep teams are meant to lose players, because they can take the loss, and that's what's going to happen in Minnesota.