Look at it this way. Either there is a budget limit or there isn’t.
If there is no budget limit, the bullpen solution is easy. It’s not like every agent for every elite closer isn’t going to contact DD just to see if he can make a better offer. No closers sign anywhere until DD has a chance! When you are a large budget team, you get that sort of help.
But if there is a limit, the solution goes to the other extreme and gets much more difficult. If it’s in the $5-7mill range, even the harshest market drop won’t bring Kimbrel/ Robertson/etc. down to that range. The Sox will have to sign for a pitcher who takes less money (Shawn Kelley?) and/or trade for a closer. Trade bait includes Chavis, Dalbec, Darwinzon Hernandez, and maybe Brock Holt. Pick and choose from that list...