I probably wouldn't pay Byram for JEE... but I don't really see why something like Newhook + 1st is enticing at all to Minny.
The guy I think they'd want more than anybody is Toews. Helps immediately, gives Addison a partner to grow with (and isn't learning himself), and would fit their system to a t. Still though, I don't see what it does for Minny longer term... creating a huge hole with their only proven NHL top 6 center to fill a defensemen spot they kinda already have filled with Brodin. Maybe if both of Rossi and Walker established themselves this year and Hartman really proves he's a top 6 guy... then maybe they'd think about it, but right now it doesn't make any sense with how they've built the team.