Working backwards a bit: Bill would have been out at Price no later than early 1989 as that's when the cancer really became symptomatic.
After his pancreas issues in '85, he stayed on with what he was already committed to (Joker, some radio shows) but didn't replace them with new work once he finished them, and on the TV side stopped working entirely (by choice) after doing a guest week of Pyramid in '87. If Price is still on and still a hit, my guess is somewhere around the time the show breaks Concentration's record, Bill says he wants to retire, and several people get looked at. Whoever isn't working in summer/fall '87 probably get looked at. Maybe a veteran or two like Wink, probably a lot of younger and mid-career talent like Bob Goen and Jim Peck, couple of left-field candidates too. If Kennedy's run had been more successful then he probably migrates to the daytime show, but without that once Wordplay wrapped, Tom largely stopped getting emcee phone calls.
Whoever gets hired realistically doesn't last past 1993 at most, if that long. 1989-95 was a very fragile time for the genre, and then the next 15 years game shows in network daytime literally WAS just Price, largely on Bob's pop cultural status - and later Drew's pop culture status and willingness to give him a chance on the audience' part.