Monero is a cryptocurrency based completely around the principle of anonymity, unlike bitcoin which is the opposite. It has a terminal program that allows you to use it in Tails! It's called simplewallet. For more information about it, go to getmonero.org.
To make it work, you have to use this (this has been posted by one of the core Monero devs here) version of Monero core. Once you have it downloaded and unpacked, run the bitmonerod daemon with:
DNS_PUBLIC=tcp TORSOCKS_ALLOW_INBOUND=1 torsocks ./bitmonerod --p2p-bind-ip 127.0.0.1 --no-igd --rpc-bind-ip 127.0.0.1 --data-dir /home/amnesia/Persistent/directory/where/you/want/the/blockchain
allow Tails to receive through the daemon with:
sudo iptables -I OUTPUT 2 -p tcp -d 127.0.0.1 -m tcp --dport 18081 -j ACCEPT
and simply run the wallet program:
./simplewallet
I should note that the blockchain is several GB. It will take up space on your USB and take several days to download. I recommend it you download it through the clearnet on another device. Thanks to all the XMR devs who helped me make this work.
the blockchain is encrypted.. so.. not much LE can do on their part. I would use VPN just to be safe. If you wanna do it on TAILS, that's fine.