Unfortunately you are likely doomed on this whole project if you don't have a full understanding of what is being used and why on both ends of the system and that both have very solid reasons for being what they are. Especially if a highly complex and expensive to design and build device is required just make two simple and common, but mismatched, things or systems work together.
Oddly it's one of the most overlooked primary aspects, and points of concern and contention (especially on forums for some reason.), in custom designing anything despite how obvious it should be that items A and B, that need to work seamlessly with each other, shouldn't need any complicated mid points between them to function as they were made to.
For me such a odd project would need considerably more information and justifications as to why there is such a wide mismatch in things before I would take it serious to any level beyond being an academic thought exercise in conceptual designs.
Which I do have to admit is interesting being I have played with such designs in the past and in normal efficiency ranges it's not terribly difficult to do but the way it can be done, as I have done it, comes across as a bit counter intuitive when first looked at but at the bare minimal design level does work like a real non regulating bidirectional DC - DC transformer.