Navigation is one thing, OS guidelines are another. In the field of UX we need to balance a whole slew of requirements, while maintaining user advocacy. While I'm most curious as to the scope of the project, the only way I have ever been able to sell in a feature, or departure from the norm, is through added value. Added value is something that can only be gathered through research: competitive analysis, user interviews, best practices, nngroup studies, etc...
So in the sense of added value, it is entirely up to you to analyze 1) the primary features, 2) user expectations, and 3) primary scenarios (user flows, etc). And through your exploration, only you can crunch the situation and find the best path forward-- balancing requirements and scope. If you are essentially asking the Dev team to do extra work, be ready to back it up with an objective analysis!
And finally the quandary of navigation: to follow guidelines, "standards" or reinvent the wheel. Again, this goes back to use cases/scenarios and definitely IA! This was a common problem for me, when teams continually want to discuss navigation amidst the Discovery/Research phase of the project. Don't put the cart before the horse, navigation should be an informed design decision.
I recommend telling your Dev partner that you'll need more time to hammer out the IA and user flows. And! Hey! If you go with a unique navigation like a hamburger, or Snapchat, all of your designs can conform to a Single set of design principles! So in this sense, you only need to document/spec small variances between iOS/Android, whereas if you follow their respective "standards" you may have a lot more design work to do...