Let me save you a bit of trouble here. We aren't getting any of the guys you listed
Barkov is currently in the midst of working on an extension in Florida. His extension is being heavily discussed on the mains. It's expected to be announced early in the season.
Rumor: - [FLA] Barkov extension coming this month or September, Reinhart contract to be announced shortly
Zibanejad is another guy who is working on an extension.
NHL Rumors Weekly: Zibanejad extension; Sabres purge; Devils in on Hamilton, and more
Gaudreau is currently talking with Calgary about an extension.
https://thehockeywriters.com/flames-breaking-down-fair-gaudreau-extension/
Filip Forsberg's extension is a priority for David Poile. So is Mattias Ekholm's. I would guess that once Nashville is out of the playoff picture this year one of them will get traded at the deadline.
Forsberg, Ekholm extensions priority for Predators, GM says
So you're looking at Hertl, Parayko and Rakell from that list.
Parayko either signs a long term extension with St. Louis during the season or he's moved at the TDL to a contender who then signs him to a massive extension. I don't see St. Louis repeating the Pietrangelo mistake again because Morgan Rielly is plan B as the 2nd best UFA defenseman. I know which one I'd rather have on my team. But I also don't want Parayko if he comes at Nurse/Werenski/Jones money, and that's what he will probably want.
Rakell is no longer a 30 goal scorer. I don't know what happened to him but he's not nearly as good as he used to be. Who knows where he ends up.
Hertl still has some mileage but I can see him getting north of 6 million and I could see him running far away from the shit show in San Jose. Maybe a team like NJD will throw a lot of money at him. They have a ton of space moving forward.
So we're then looking at guys like Nick Leddy, Morgan Rielly, Rasmus Ristolainen (puke), Ondrej Palat, Nino Niederreiter, Hampus Lindholm (unlikely) Ryan Pulock (unlikely) Nazem Kadri (puke) Vincent Trochek, Sean Coutourier (unlikely) John Klingberg, Joshn Manson and Nikita Zadorov as the big name free agent skaters that still have gas left in the tank.
A couple of the defensemen make sense but I don't expect us to get more than depth players in free agency until 2023, so we probably get none of the above as well.