Unless you bought bitcoin through localbitcoins.com, you bought them with a credit card or some other means that can be traced back to the hash that was generated and associated with your credit card at that time. You can tumble all you want, but the blockchain is a TRANSPARENT ledger that records all activity. You could swap between cryptos and all that to hide your trail, but to do that you're going to be using exchanges, which generally verify some information for you to gain access to higher tiers and features. Cashing out from crypto into fiat especially requires you to go through quite painful identification processes.

A country could simply packet-sniff and block all traffic that looks like whatever crypto they want to ban and force you to use the national crypto. They do this in China to block Tor users, so they have to use bridge nodes in order to escape the great firewall. Not without its risks.