Hey Mike!
You've received great feedback from the community here (nice job, everybody!). While it's not a requirement to have complete NAP on every page, it is a best practice. I see these 3 options open to you:
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Convince the client to go with a more normal layout. If you can, put complete NAP in the footer. 
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If no dice on that, put it in the masthead. 
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And if that won't work, you could certainly put it at the bottom of the main body of the pages, incorporating it into your call to action. 
Hope this helps!
