I just read about Tails on Wikipedia. That would seem to be the best Distro for Monero paranoids, right?
Wait, I'm a huge goober. I just realized that's a 32-bit OS, right?
That means I can't compile and run Monero, since it requires a 64-bit machine, right?. BAH HUMBUG. I'll just have to wait it looks like until the database work is done and a 32-bit version is released, or I'll have to bump up to a 64-bit laptop.
double edit: Ahhhh, I'm a moron. The processor is a Intel® Celeron® Processor N2840 which is 64-bit. I had no idea they made 64-bit processors under the Celeron name. Wow. Ok, I guess I *am* in business. Cool!
I was told by someone recently that tails does support 64 bit machines. This seems to agree: https://tails.boum.org/support/faq/index.en.html#index6h2
Also, the latest source version from github does not require 64 bit in theory. It works on 32 bit for the most part but there may be some issues. I recommend sticking with 64 bit if your processor supports it.