Sounds right. Metal roofing is not for flat roof because they have seams that's mechanical and they aren't guaranteed for water proof (worst case standing pool). BTW I don't know much about metal roofs. Search the net for metal seam roof installations. 1-2 hrs of reading should give you some ideas and you go from there to learn more. None of it is rocket science. For flat roof (that is, under 3:12), you need some kind of adhesive usually considered water proofing. These are chemical or tar based. If you cover the whole roof with ice shield, you may get away with less slope and shingles. Ask your town. They may not give you specific uses and ideas but min an inspector will/can strike down your idea.
Also 3 or 3.5 pitch may not look right. Photo pitch is less. Design, I can't help. Search the images, pick the ones that appeal to you and try to find out what pitch they are.