Only one way to find out 🙂 Apple doesn't do pre-reviews and they have the final say. My guess is they would approve it. We don't often hear of rejections for HIG violations. But that's just a guess.
Generally it's best to simplify things so the user doesn't have to think so much about what needs to be tapped. That often means putting the most important / most used 2 or 3 options front and center and hiding the rest in something like a "more" button like UITabBarController does. Maybe the people you have shown do like it, but make sure you try it on both non-techy and techy people, and try a simplified, more standard version to see if they like that even better.