I fail to see how it's the government's problem that you don't follow their rules to get a government ID. You aren't entitled to anthing - espeically since you don't yet seem to be a legal registered member of society. It's fraud to say you're living at an address you don't live at in order to get something out of it.
If you don't like the rules, you're welcome to move back to the UK. All the complaining in the world isn't going to change the situation.
How are you getting paid if you don't have a CPR-number? If I were you, I'd simply rent a room or a one bedroom apartment (which should be cheaper than staying at B&B's anyway) and then list that address to "borger service".
not all rooms allow you to register and finding any kind of apartment is easier said than done. i am classed as self employed and am being paid via the uk. i need to register ASAP and that means i can only use temporary addresses. and why should i be forced into living conditions i do not want just so that i can do my duty and pay tax. why do they make it so difficult makes no sense