As often as the Halloween series has rebooted itself and disregarded/retconned sequels (ignoring the rob Zombie remake series, 3 times), I don't see why they couldn't do something similar with Friday the 13th. If it were up to me, I'd do one of the following 3 options:
1. Pick the series up after Part 4. Ignore every film from Part 5 onwards. Bring back Corey Feldman as Tommy Jarvis. He's expressed interest in reprising the role. No disrespect intended to the actors who portrayed Tommy in parts 5 and 6, but that would be cool to see. This movie could involve an adult Tommy, still scarred and haunted by the childhood events with Jason. Otherwise, bring back Jason in some similar fashion as to how he was brought back in part 6. Tommy, now a father of his own kids, must fight Jason once again. Maybe get one of those little fuckers from Stranger Things to play his kid. Ted White is retired and way too old to reprise the role, but perhaps they could bring back Kane Hodder (in his 60s now but still in pretty good shape and still working in films) or CJ Graham to play Jason
2. Pick up after Part 8, ignoring Jason Goes to Hell, Jason X and Freddy v Jason. Jason would still be an undead revenant watching over Crystal Lake, but long since forgotten as an old 80s urban legend. A new group of counselors are reopening the camp and you can guess from there where this is going. Pretty straightforward.
3. Go back almost to the beginning, pick up the series after the very first film, sort of like they've done with the latest Halloween film. This would allow almost limitless possibilities for starting a new series of Jason films and they wouldn't have to worry about contradicting the other sequels. Maybe this way they could also offer a better explanation for exactly how Jason drowned yet returned as an adult "human". I still like the idea of him being a revenant resurrected via some supernatural tomfoolery.