Hi everybody. Thanks for the responses.
At a given time, the MCUs with 3 incoming connections can be powered by 0, 2, or 3 incoming directions. The MCUs with 2 incoming connections can be powered by 0, 1, or 2 incoming directions. Within the entire system, there are upwards of 48 connections that need to be managed this way.
Is there some modification to the circuit suggested by Chris that could allow multiple incoming connections without affecting the incoming voltage?
Also, while I'm not against incorporating diodes, how power is fed through the fixtures requires voltage to be passed from one fixture to another like a chain, much like:
Ex: SystemPower->Fixture1->Fixture2->Fixture3.
If Fixture3 receives voltage from a path other than Fixture2, that voltage cannot pass back to Fixture2. Note, in the entire circuit there is only one power source. The source of power for the alternate path would still originate from SystemPower, it would just follow a different path to get there. Therefore, to receive the same voltage at every MCU in every fixture, there would have to be extra diodes added earlier in the chain just to make the voltage drop. This will work, but it would add a lot of cost and eat into my already limited space.