It also kind of has to be 18 V, since I have the power supply. I have a right angle gear that can be stuck on an ordinary cordless drill with a clutch, but it is geared 3 to 1 and that will lower the speed too much. I might try Milwaukee 49-22-8510 Right Angle Drill Attachment, but will need to know if the speed is reduced.
Too bad right angle cordless drills don't come with clutches. Milwaukee has one, but it's electrical and causes the drill to stop. That won't work here.