Hmm. I'm not sure I fully understand the question. Anyone who wants a country's assets and budget spending to be transparent would be free to run a node. And there's nothing about a traditional distributed database that prevents it from using hash pointers to ensure that the history cannot be tampered with. That's not a special feature of blockchain.
The question is: how do you get a country to record all its transactions in a public ledger? Once you've figured that out, the technology to use for it probably isn't blockchain.
Most of the work that goes into running a Bitcoin node is actually just for burning electricity to find the next block. No real work is being done in proof-of-work.