With Rogue One coming out I think one could backtrack the setup of the game to approximate the conditions of the movie. The Empire starts out with a Death Star Under Construction at a remote system of its choosing with the Death Star on the 3rd slot of the build queue. To reflect it's fledgling status before it's "first victory" mentioned in ANH, the Rebels start with the Reputation Marker on 16. Each faction only starts with two leaders (Vader & Emperor, Mon Mothma & Dodonna), with the other starters coming one turn at a time - in essence this is like rolling back the start of the game two turns (like what is done in modifications of Axis & Allies to reflect 1939, 1940, etc scenarios).
The Empire could begin with one more subjugated system in addition to the starting three but the same number of units, making them thinner at the start, while the Rebels could be allowed to spread out their starting units more to strike vulnerable systems. It gives the Empire two more turns to consolidate and look for the base at the expense of waiting for the Death Star to be operational while the Rebels can still get started with their objectives and try to peel those Death Star Plans as soon as possible. Just spitballing a bit, this would definitely need to be playtested.