I don't think it should cost us anything more than Bjugs and a 1st to get them to eat some salary - potentially a lot of salary. Bjugs has value in his own right - because as you said, he's going to slot in there and that in and of itself is going to provide value to Chicago.
I know many dislike Bjugs because he dosen't use his size enough and isn't a 50/60pt player. But that doesn't mean he doesn't have value in this league. He might not be worth a ton, but he's far from a cap dump. Sure this has been a rough season for him... but no GM is going to judge him on an 9.5 game stretch that was broken up with an injury and while playing on an injury riddled team. What he did last season as our 3c will hold a lot more value. What he did the past 2-3 seasons will hold a lot more value. Again, I'm not saying he's worth some super great return, but I suspect that if JR moved Bjugs tomorrow, that people here will be talking about how he fleeced someone based solely on what they perceive Bjugs value to be based on their opinion of him.
I think Nick Bjugstad is a solid player, I just don't think he fits the style of the Eastern Conference very well and would actually do very well over in the West. Hell I despise Sutter, but when healthy, he's actually a decent player production wise, but he's just never healthy in Vancouver and they are pretty similar in regards to guys that are bigger that don't use their size and are passive as hell (comparison stops there I think).
I think a 1st + Bjugstad could get us at least 1m in retention, the good thing is that it's only 1.5yrs of it so that 1st being a guaranteed first should ease that pain.
Hell if Chicago would eat even more, the Pens could take Carpenter off their hands as well (I mention him because he produces somewhat decently, is a solid 2-way player, right handed faceoff man that is currently better than Blandisi and Agozzino in that regard, he's a career 48% guy, was 50% last year, is at around 45% this year).
Saad, Crosby, Tanev
Kahun, Malkin, Rust
McCann, Blueger, Hornqvist
Aston-Reese, Carpenter, Simon
2018-19 Player Review: Ryan Carpenter remains a safe yet unproductive bottom-six option for Vegas
I didn't include Galchenyuk on that roster, for obvious reasons, I don't know who the Pens could get for him.