I guess they could try using a blogging service hosted in a "non-cooperative" country. E.g. Russia, unless you want to blog about Putin.
We could keep playing this game forever. Really you'd want a self-hosted site running from an anonymous VPS paid using a cryptocurrency like Monero (these exist) and your domain would use a similar service (say Njalla) or be TOR-exclusive. Alternatively you could go a more classic route and host with SDF (à la http://voidnull.sdf.org/).
Or, if you're really paranoid, you'd give up on the whole thing. Maybe you'd still write but you'd keep it to yourself. As I see it, any interaction is a risk of exposure even if very small.