Hi Ben,
Honestly I think you are doing more than most business' do on Yelp actually. And also the right things. My 2nd suggestion is something extremely marginal I thought of that can give you an advantage if everything else is done and the competition is top too.
But this doesn't seem to be the main problem in your situation.
It seems you did your "on-page" homework on Yelp already rather well. So the reason must lie somewhere else.
Right now these are my thoughts:
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Yelp takes also into account behavioural KPI's like CTR, dwell time, etc. on the business page. Are they really so advanced? Are your competitions business pages that are 1/2 empty, with no reviews generating a better CTR, etc.: don't think so...Is there something on your pages that is negatively affecting the above KPI's, that turns off visitors?: maybe.
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Some algorithmic thing (disadvantage) from Yelp: because of your size? looks spammy? "duplicates" in different locations are normal when you have different branches. because they want to force you to CPC? hope really not: that would be very short sighted saying the least...looks over optimized? maybe yes to some extent (text/keyword-wise). on the other hand they actually want you to fill in everything and use all their features... maybe something happens here by mistake due to the poor implementation of their algorithm: rather unlikely, one should first try to look for the errors with himself and not with the others...lol
my guess (not having seen your pages) right now is some kind over optimization...
Just some other thoughts that may help you in your quest.
Cheers,
Cesare