Why do you think need creat bill, sound like physical bitcoin and centralization. Bitcoin has been created for decentralized financial economy without printing physical money. Now if you are wondering printing something like physical bill then it will hit decentralized system. Also it would prevent financial freedom, and of course we need third party for implement something like that. I don't like to see physical bill instead of p2p electronic system. Current bitcoin uses system is fine for me. We just need increse physical use of bitcoin like buy goods etc.
I am also of the same opinion instead of involving your head in such matters, focus on the physical use of Bitcoin worldwide. It is not widely acceptable in small stores, shopping centers, cafes etc. at one side people are using it for even paying for their packet of peanuts on the other sides it is not even accepted in big shopping places. We should work on its promotion everywhere on the same scale. Our major focus should be placed on underdeveloped countries where it is not known by the local people.