If the Blue Jackets are still required to get to the cap floor despite this (and I would hope the league would grant a hardship exemption to offer them flexibility) it would be no issue for them to find any number of teams willing to give them expiring salary. The Flyers very nearly traded the Blue Jackets Ryan Johansen for Patrik Laine, according to a Montreal reporter, and if the Flyers' attempt to terminate Johansen's contract goes south, they could pay Columbus to take him, or Cal Petersen, either of whom goes away at the end of the year and would just provide cap ballast to clear the floor. I don't want to speak to who other teams would find expendable, but I'm sure there are a dozen options out there. That would give the Blue Jackets what they need to get through this immediate period, some assets for the deed, and would tie up absolutely nothing going forward, so they'd still be in position to make a big splash this offseason.
That said, if CBJ wants to add longer-term pieces, that's obviously within their reach, I just would imagine the plan this year is to get through the season and reorient themselves towards the future.