Hi Dan,
While in the past I have wound a few coils with AWG 44 wire,ever none needed that type of precision..My gut
feeling is this may be almost impossible . I guess I do not fully understand your problem but just to throw this out.
Why can you not wind your coil as precise as you can in practice, and later in some uniform test, add or subtract some correction factor so that each coil results in a uniform result.All the previous posts pointed out the pitfalls and problems in trying to get absolute winding results..
Anyway,
Goodluck
jolphil