I'm not going to bother with the realism of some of these deals because that seems like a drag.
Before the deadline:
Brodin+2020 4th/2021 3rd for CAR 1st+Rees OR Brodin for Gaudette+2020 3rd
Hunt for 4th
I would try to figure out if there's a way to get a 2nd for Koivu, or re-sign him for 1yr, 1.5M max. Don't re-sign him if he won't accept that.
In the offseason:
Dumba for Monahan/Domi/Dvorak+2021 2nd (will be their 2022 2nd if Hall re-signs)
Zucker for BUF 1st+prospect/MTL 1st+prospect (would consider 2021 if their 2020s are too high, the gambit being this could be a lottery eligible pick next year, and we could get lucky, but probably won't be worse than 20th)
Greenway for EDM 2020 2nd
OUT: Brodin, Hunt, Koivu, Dumba, Zucker, Greenway
IN: Domi, Rees, CAR 2020 1st, BUF 2021 1st, EDM 2020 2nd, 2020 2nd, 2020 4th, BUF prospect
2020 draft: MIN 1st, CAR 1st, MIN 2nd, EDM 2nd, 2nd, MIN 4th, 4th, MIN 5th-7th
2021 draft: MIN 1st, BUF 1st, MIN 2nd-7th
Minnesota's pick currently sits at 7th overall, the order of players I'd take is:
Lafreniere
Byfield
Stutzle
Rossi
Drysdale
Lundell
Raymond
Holtz
Perfetti
Carolina's pick is 20th right now, I'd take:
Zary/Mercer
Bourque
Gunler
Guhle
Amirov
With our 2nd, 38th overall I'd look for Foerster, Perreault or Foudy
Go into next season with this lineup:
Fiala-Domi-Kaprizov
Donato-Eriksson Ek-Zuccarello
Parise-Staal-Kunin
Foligno-Sturm-Hartman
Rask
Suter-Spurgeon
Soucy-Menell
Seeler-Pateryn
Belpedio
Top prospects in 2020-21:
Boldy
Lundell
Bourque
Khovanov
Beckman
Rees
Foerster
EDM 2nd
2nd (from Koivu)
That lineup definitely isn't great next year, but as you start to inject the prospects going forward it becomes a lot younger and a lot better.
You still have two 1sts between 5th and 20th in 2021 as well.
You might be bad for two years, but at least your future is bright.
Most importantly, these are your centers going forward:
Domi
Lundell
Eriksson Ek
Khovanov
Bourque
Rees
Foerster
Once you start to figure out which centers are going to be the guys going forward, you can start to address the wings, as players like Parise and Zuccarello start to leave, and you can build the wings around Fiala, Kaprizov, Boldy and whoever else we might pull out of the 2021 and 2022 drafts.