Here's a good list of Conservative Candidates for the Supreme Court
Keith Blackwell Georgia Supreme Court Justice
Charles Canady Florida Supreme Court Justice
Neil Gorsuch Judge Tenth Circuit US Court Of Appeals
Mike Lee Senator from Utah who used to be Assistant US Attorney from Utah and he's on the Senate Judiciary Comittee
Edward Mansfield Justice Iowa Supreme Court
Federico Moreno Judge US District Court Southern District of Florida
Margaret A Ryan Judge US Court of Appeals for the Armed Forces
Amul Thapar Judge US District Court Eastern District of Kentucky
Timothy Tymkovich Chief Judge US Court of Appeals Tenth Circuit
Robert Young Chief Justice Supreme Court of Michigan
Other than Blackwell nobody on this list would be as controversial as a Sykes or Pryor. Could see some red state Dems backing Gorsuch, Ryan or Tymkovich for example
Mike Lee would be controversial: partisan elected official, and would face the Senate, which he's part of. Judges only (but that's my opinion).