The RNC or some conservative PAC (Courageous Conservatives PAC?) should use the old Terry Dolan-NCPAC technique. Once the nominee is chosen, get ads on TV as quickly as possible giving the office numbers of red-state Democrats, the same ad except for the tag: “Call Senator Manchin/McCaskill/Heitkamp/Donnelly (etc.) at (202) 224-XXXX and tell him/her/it to vote for Judge X.”
Then when they don’t do it, come back with ads hammering them.
I might take a gamble and do that to Kaine also.