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But all you have to do is move the guy with the better OBP to leadoff and move Young to 3rd in the order. There will be more baserunners for Young

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On average, slightly.

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and he'll still get plenty of AB's (without looking at stats, I would assume the difference in AB's per game between the #1 and #3 hitters is extremely slim).

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It is slim, but so is the difference in expected number of runners on base over the season with a .350 OB guy in front of him and random players. And getting him fewer PAs does hurt marginally if you give his PAs to a worse hitter, and the attempt to engineer it so that he has more men on base when he hits may offset most or all of that loss but it doesn't make a huge difference.

I believe the best simple way to design the BO is ascending by OPS, with ascending by OBP a close and highly correlated second. Unless you do something stupid like sort them by batting average or something, the difference is going to be around 0.1 runs per game which is maybe a game.