IMO, a speed controller won't do what you really want for a barley mill. It will reduce the RPM but not increase the torque. Most often you need more torque to either start it, or keep it going. Using a gear reduction head, or pulleys, will give you lower speed and higher torque.
IIRC, a DC motor could give you the torque you need, due to how they work. But I wouldn't use an AC motor in that application. Can you get it to work? Maybe. Personally, I don't see the point to dicking around like that. Hell, I'd use a drill (again) if it came down to that since cordless drills use DC motors and can often offer lower RPM ranges. For reference, I was using my 18v DeWalt hammer drill for years in the lowest (of three) speed ranges finger fiddling it to get the speeds in the needed range.
I got tired of having to hold on for dear life when I started the drill (when attached to the mill) due to the level of torque applied/needed. That's why I went ahead and got the motor I did before we brewed our first batch this year. Gear reduction heads also mean you can have the motor shaft directly in line with the malt mill shaft. Thus preventing any side load force and prevent wearing out the bushings/bearings in your mill prematurely.