Since this is fully analog, if you don't want to delve into extremely complex devices like a continuously variable transmission with ratio governed by deviation of output speed, your best bet would be to ballpark the input torque range and provide a strongly non-linear speed governor creating extra friction on output exceeding rated value.
Go with a centrifugal governor that upon exceeding preset speed activates a brake on the input shaft, with friction climbing rapidly as output speed is exceeded - say, the weights of the governor move jaws of a brake, engaging them as friction reaches the limit.
A somewhat simpler mechanism, frequently used in music boxes, uses viscous friction of air; a little fan driven by a set of gears increasing its speed relative to input, responds with torque of air resistance proportional to square of rotary speed. This is less accurate, but simpler and suffer less wear over time.