I would ask for your 1st, maybe top 5 or 10 protected? And then whichever lesser pieces after that don't really matter to me.
To me, the issue with Kaprizov is that it seems like he doesn't want to commit longer than he has to, which is three years. That would normally be fine, except because of our cap situation, we need at least four years if we want to make an offer to him when his current deal is over. Another team (like you guys) might have better luck, because even though three may not be ideal, it would be manageable.
I know you guys say you're not in a position to really do much now, and I can respect that, but looking at your roster, guys like Vilardi are ready to make an impact, Kopitar is still good, Byfield is probably on the cusp, so your team could be a playoff team for the next three years with Kaprizov, and in that case, I think he'd be far more willing to extend with you as well. Along those lines, if you guys are satisfied with some combination of Byfield, Kopitar, Vilardi, Pinelli, Kupari, Thomas and Madden down the middle, maybe Turcotte isn't a must-keep. But I also wouldn't blame if you would just opt to keep him and slide your own guys out to wing.
Anyway, I'm not trying to negotiate a deal or say you guys should move Turcotte for Kaprizov, I just disagree with the notion that, from Minnesota's perspective, it has to be Byfield. I think something around Turcotte would work just fine.