Some thoughts I have, involving potential changes:
1) To start with, I do not believe that it would crash and burn- given how quickly it went off the air, I doubt Concentration had that much left in the tank, and the use of Price as late-afternoon soap counter-programming likewise is effective in the short term.
2) The differences I see emerging start doing so during the 1975-1976 season, in two different regards: given James' limitations as a host, I suspect that the effort to expand Price to an hour bombs in the same way that it did for every other show that tried to do so during that period, and, faced with competition from Wheel, the ratings start to slip.
3) In our timeline, Wheel ultimately changed its time slot to get away from Price- in this set of circumstances, I don't think that NBC's program planners feel the need to move it, while Price may very well get shifted to the 10 AM slot to get away from Wheel (moving it back to the late afternoon is probably not an option, given both how well Match Game and Tattletales are doing and CBS's efforts to stay in Norman Lear's good graces).
4) In the short-run, Price is able to survive facing off against a declining Celebrity Sweepstakes and then Sanford and Son reruns.
5) Here is where another important issue hits with the timeline. In our timeline, Dennis James left Price at the end of taping for the 1976-1977 syndicated season. Here, there are two different issues at hand: When does Dennis James leave (presumably, based on my previous calculations, it doesn't really become an issue until late 1975/early 1976), and who replaces him (is it Barker stepping in a few years late, or is someone else entirely approached?)
At this point, it becomes really hard to predict- anything from the show ending its run at the hands of Card Sharks to it lingering into the late 1980s/early 1990s period when daytime television divested itself of game shows is a possibility, and a lot of it is dependent on factors that are now impossible to test (namely, how well various people would have fared as hosts, and how the audience would take to them).
Overall, it seems clear to me that it doesn't become the phenomenon it has in our timeline- but what it does become is an entirely different subject.