The LED ring was probably made to run from 12V. (battery)
It has 180 ohm resistors to limit the current.
I would look for 12V wall worts. (adapters) If the 3 watt rating is right it will pull 250mA. (1/4 amp). I think it pulls 80mA. 0.08A. Just a guess. I go to the "used junk" store. When a printer dies they throw the power supply in a bin. (cell phone chargers, laptop supply, calculator supply, etc.) A inkjet printer supply might be 12V at 0.5A. I usually pay $1.00 us.
Ha, Cliff, Drive by the house tonight and I will give you one. LOL.