You shouldn't have any problem with A House Divided.
To me it provides the flavor of the bottlenecks caused by the rail and river communications. It is on my recommended list.
As usual with these sorts of threads I'll offer up a couple of alternatives for your consideration:Blue vs. Gray
Quite a bit more random and very unusual. The cards are informative - a real history lesson. Army placement and movement is very abstract you declare which leaders and armies you will commit at movement time. The battle outcomes are very random and can swing wildly.The Price of Freedom: The American Civil War 1861-1865
With a limited map and small number of units, the game is not about grand maneuvers. Movement is deliberate and there are a lot of blocking positions. The game is more about managing cards and leaders, so you can make more effective attacks. The game well captures the attritional nature of the war,
Yes Civil War - wargaming is addictive.