Yes, they have a lot of budget space, but I'm sure they don't want to fill it up with 3 years of Price's contract when they already are about 8-9 deep with SP'ers and good SP'er prospects.
To me, forcing them to take Eovaldi make more financial sense to the Dodgers than Price, but only if we take back Pollock's deal and a couple of their SP'ers (prospect or ML).
Something like Betts & Eovaldi for Pollock, Gonsolin, Gray and Cartaya as a starting point. Maybe Cartaya gets dropped or we have to add Workman or Walden to get all 4.