I won't play with both PC and PS4. If given a choice, I'd like to see my PC history just carry over to the PS4. Say I finished Week 4 on PC and TGC is released, I'd just pick up on the tour on PS4 in Week 5.
I do have an idea though. After this first season, keep the 3 platforms separate through the 12 week season. Then have a Week 13 "Tournament of Champions" where the Top 25 from each platform are invited to play a 4 round, 4 course (1 round per course). Tour event.
I know the game is supposed to play the same across all platforms but right now, it's a "looks good on paper" thing until we actually see it. Plus, it might make easier for you to track as you can designate someone (tour admin) from each platform to log the scores.
Just an idea with light thought at the moment lol.