You seem in a unique position with respect to needs and opportunity. So many organisations go looking for a tool mainly to quench a vague desire to systematise. The temptation is to think, "we can't be so different, surely there's a solution out there that already solves this problem". Reuse, not reinventing wheels, all fine and good... but in fact the "problem" is ill-formed and before you know it you end up fitting what you do, and your horizons, to a tool not of your making, adapting what you do to someone else's paradigm.

So why not build it? Sounds like you have the academic and research resources. It's just entities, relations and timelines. There's a thousand ideas out there in games, logistics and asset tracking that are so nearly what you want and can be adapted. Many now well known tools only evolved as a side effect of another niche business need, to scratch a singular itch.