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Hi Brian!
I like the concept of the top one. Just maybe in the Daily specials section to pull up the 'Grilled Vegetables' section to be closer to the 'Mixed Organic Green Salads'. So the spacing is fitting to the right side and a better relation is established? Maybe also consider making the columns smaller to fit alignment extension of the first call out of "Mixed Organic Greens Salad"?
In the menu I think you need something that pulls away from the feel of over welling text ahead. Maybe by applying a heavier or lighter/colored text for the the title of items ahead with a lighter text for description? Right now it feels a bit unwelcoming and hard to find right away what may sound good.
As you know though I like the bottom logo the best for this. Just, are they willing to change their outside blue color they have going On? If not maybe incorporate their color. (Hopefully they do to fit your new redesign of green).
In the end I enjoy the bottom design the most and feel that you need more contrast between the green strips and your type.
Delightful/fresh colors and overall look.
Good luck! definitely let us know which they choose at the end of this project.

Hi Brian, I really like the third version here. Looks great!