Want complete software freedom? How about the MIPS chips the Russian military uses[1]? Those don't have an NSA back door. Sucks you can't really buy them as they are only made for use in Russian military and government applications.

"Last year, the Russian government announced that it doesn't want to rely on Intel and AMD chips from the U.S. anymore and will focus more on using homegrown chips from Russia."

[1] http://www.tomshardware.com/news/baikal-t1-mips-cpu-omnishie...