Tap Tempo to Midi CC for Expression (DM-2w)

Hi, not sure if this is possible, so I thought I would check to see if anyone has a creative solution. Occasionally, I would like to sync up the DM-2w with a quarter note tap. I can send expression CV to the pedal using an Oscillator Device garbage collector. I have a bpm to cc conversion table where I can program exp per preset or even scroll different tempos, but was curious if there were a way to correlate a midi CC value to a BPM that is tapped in. I send tempo information to a DMMTT and my HX stomp as well, and it would be great to have them all synced via tap tempo.

Is this doable?