Here is how i see it, the only truly define parts of the endings are
*destroy- destroy all AIs and relays
*control- shuts down relays, reaper follow AI version of Shepard
*synthesis-destroy relays, AIs get emotions, organic get cybernetic implants, and reapers are free from the cycle.
So any story that avoid the Relays and AIs would work, and that not to hard.
Reapers can simply be Hand Wave away by saying they are still repairing all the damage they caused or helping with military patrols or even have they follow a "prime directive" and are avoiding contact.
The Geth are on Rannoch so simply not going to Rannoch avoid it.
And the other AIs are small in numbers and just can be avoid.
Exploration is a key part of ME4, we can assume that the Relays are not playing a role in it.
The cybernetic implants are a wild card but judging from the EC endings they don't make everyone have a hive mind or be reaper slaves or any of the other crazy theory out there.
And really after how they dealt with ME1 and 2 endings, why do people still think they can't avoid giving the endings any wight.