It sounds like the system is too large to design for a single-phase interconnection, since doing so will result in an imbalance on the 3-phase service. Typically, you can interconnect in a situation like this using an inverter that doesn't need or use a neutral connection. As long as you interconnect line-to-line, the voltages are all in range for the inverter. You might find a single 3-phase inverter that fits the bill; if not you can probably stack three single-phase inverters on the 3-phase service. If you do the latter, you probably only need to operate one inverter w/out the neutral connection. Note that in some inverters you can enable operation without a neutral connection by moving a jumper inside the device.
While I've made connections like this in the past, we always engaged an inverter manufacturer's applications engineer, just to make sure they signed off on the application and we understood what was required to make everything work. You'll also want to make sure the AHJ understands what you are proposing.
Based on your description of the service, the challenge sounds like finding a Code-compliant place to make an interconnection. If you can't make a supply-side connection on the utility side of the main disco, you might need to replace the main disconnect with a custom (because of the high leg) MLO panel that provides room for up to six service disconnects. (Or something along these lines.)