Welcome to the forum. I cannot speak for developers, but they have a very open game system and are supportive of creative use of the game. Also, as a former teacher and State Dept of Ed policy person, I can tell you this educational use of the game is completely appropriate and legal.
So it can be used to illustrate the war well. Especially as the research into initial deployments are so historically accurate. You can enter the game as both sides without special access, just enter and move.
So enter as the Union, make your move and save.
Then enter as the Confederates, make you move and save.
It really is impossible to move into new turns without battle; so I suggest move opposing forces adjacent and put them in passive posture. As long as you do not leave a force on top of an enemy force, your armies will remain in place without any battles.
If you do this, you can then run the turn, advancing to the phase of the campaign.
Then you once again independently move the armies.
If you look at AARs you will see players often illustrate their play with edited symbols, which you could use to show clashes.
Please send me a private message if you like. My major paper was 'Gaming the Civil War." Of course this was back in the day of board wargames only, but I might be able to help if you get stuck.