You would have to have moved out to California or Oregon (or Nevada, if you were a masochist). Even AZ and NM were targeted.
They did the statehood thing during the war, that's a little too involved.
I was thinking Oregon.
For many of the soldiers the Civil War in Oregon was a monotonous, numbing assignment. In their monthly post returns, officers recorded desertions, suicides, and bouts in the brig because of drunkenness and misbehavior. The Indians were quiet on the Siletz and Grand Ronde reservations. The rain was predictable and depressing. "Nothing transpired of importance," recorded Royal A. Bensell, a soldier at Fort Yamhill. Too many days brought that refrain in his Civil War diary.
Sounds peaceful.