Another Gorsuch is all they need. He’s deeply conservative, young, and frankly, impeccably qualified to sit on the bench. There’s no reason to suspect that the next person on the Federalist Society’s list would be any different, because there are a dozen easy candidates to pick from.
Frankly, I’m puzzled by this hypothetical that somehow the GOP’s base would punish it for confirming a conservative SC nominee. There is probably nothing that unites the GOP base more than getting another conservative judge on the Court.