My assessment of these selections is as follows.
Apostolic Tradition: The food and GP aren't mediocre, but I just don't see this as a wide founder belief choice. It's good for making a tiny empire's capital insanely strong and thus a small empire with a "big" feel. Based on what you've described as your goals, I don't think this is the choice for you.
Divine Inheritance: Another one that I find has its main use only in a tiny Empire. The only thing that benefits here is the Holy City, but you have so many other cities that could be getting benefits somehow, so I wouldn't go with this, either.
Hero Worship: This is a reasonable possibility: the Faith from conquering will indeed give you more chances at Great Prophets to make those Holy Sites. And spreading your religion isn't really the goal - Faith for Prophets for Holy Sites does make plenty of sense to pump out more fighting critters and keep ahead in Culture. A decent choice.
Holy Law: If you're murdering enemies on a regular basis and getting lots of culture on account of your Acropoli, and going wide, this definitely makes sense as a choice. You'll be getting policies fast enough to trigger the benefit more often than "standard" (whatever that is), and since you're going wide (and presumably conquering), you'll have lots of population from merely your own cities to make the bonus strong. Spread to other civs' cities as well and you can probably get more out of good. Another good choice.
Theocratic Rule: I don't think this is merely a China belief - if you're vigilant about trading resources or are producing Great Merchants at a rate to keep up WLTKD, this can be plenty useful. Nevertheless, I don't think it's the *best* choice - but it's not a *bad* choice.
Way of Transcendence: I don't actually even know how to assess this to be honest. I'll give the benefit of the doubt that when it was developed that it got tested three dozen times to see how the yields matched up to everything else and thus say that there's nothing wrong with it fundamentally. However, like Apostolic Tradition, I'd be inclined to say that this works best for a tiny empire that's really effective at spreading its religion around so the large yields are focused in a small area - so I don't think that this belief is for you.
Hope this helps.
Have a great day!