sounds like you might be poly.
I'm not sure where you are reading to get this information that poly is just for committed vees and triads. On here? There is certainly a lot right now, but hasn't always been and certainly doesn't reflect what is out there. What you are looking for is a quad situation it sounds like. Try doing a search for that. Maybe someone has tagged threads under "quad?"
Bottom line is you can make poly what you want it to be. There are certainly ways of doing things that have been tried and tested to work better for most, but that doesn't mean you can't forge your own way. Making your own description of what you want is the first step... just remember to keep it fluid and open to change as this will mean that whatever it is suppose to be will be able to manifest.
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