potentiometer to rotary encoder for tempo pedal

I’m in need of design help. My electronics skills are limited, but I can assemble clock kits all day. I am working on a hack to make an external tempo control for a drum machine; using a guitar volume foot pedal. The encoder itself looks and smells like an EN11-HSM1BF20, with 20 PPR.

I have a guitar volume pedal that I tried to make use of for this, placing the EN11-HSM1BF20 within it instead of the potentiometer that was originally in there. This worked, but only yielded four clicks’ worth of travel on the encoder. I’m in need of about 100 clicks for the pedal to be useful.

What I’m hoping for is help (okay, more than help) with designing a circuit that would use the original potentiometer in the volume pedal. The full travel of the pedal yields an ohm range of 0 - 84.7k ohms. The result should be output that mimics that of the EN11-HSM1BF20, producing range of around 100 inputs.

Now for bonus points, if there was a sensitivity circuit, like the trim knob on an audio mixing board, now that would just be awesome. I did try this pedal “Source Audio SA161 Dual Expression Pedal” which looks like it would work, but it didn’t. Conceptually, it is exactly what I’d want, but it just didn’t want to pretend to be an EN11-HSM1BF20.

So that’s the story. Looking to mimic ~ 100 clicks of an EN11-HSM1BF20 using 0-84.7 ohms.