From time to time I also want to use clean/new coins and usually there is a much more cheaper option - Hire someone's hardware to mine you some.
Check this site -
https://www.miningrigrentals.com/Also, you could find some topics in this forum for users, renting their Rigs.
Have you ever been able to mine a full coin by renting hardware from mining rig rentals? I think you have to spend more than 1 bitcoin to mine 1 bitcoin renting any of the available hardware there.
I think using bitcoin mixers is enough to remain anonymous, why to pay more for same bitcoin.