roche, deeper investigation might be required.
I would tend to be using phase angle switching in either case,
It's my opinion, that phase angle switching is only appropriate for use with a commutator brushed motor, and will not work at all with a synchronous induction motor such as is commonly and cheaply available on the surplus / low cost market. Such motors must be driven by a variable frequency inverter if speed control is required.
I think Hedgerow Petes ideas on truck wiper motors or similar have got some mileage - must be lots of those floating around...
This observation is entirely consistent with your speed controller utilising phase angle switching, and is an avenue that you could usefully explore and advise us all upon. It does however probably depend on a suitable low voltage supply to drive the speed controller, and that in itself could be expensive or cumbersome.
A mixer drill does already incorporate those ideas and is available from £40 upwards, already made.
My experience with trying to obtain 'truck wiper motors' and such things, is that the search is very time consuming, and the prices asked are often high even as second hand components.
Have a look at the requirements for speed control of synchronous induction motors, and tell me whether your view changes with the research.
JC.