This account would be able to attach a featureless debit card (using our national standard payment system "DanKort"), and have the same interest rate as the national Bank (so for now, slightly negative).
Employees of the national bank is already able to get accounts like this. So there is precedence.
This is obviously not a particular attractive not sophisticated "product", but it is awfully hard to hurt yourself with, and will have all the functionality that allows you to function in a modern society.
Make banking a choice, and force the banks to make sufficiently attractive products to convince me to participate willingly.