The decay time depends on how much current is stored by the cap, how quickly it charges up, and how quickly it discharges.
I'm wondering if the 1M resistor between V+ and the 22uf cap is the better path to pursue. It is reminiscent of what happens in the Dynacomp with the 10uf cap and 150k resistor to V+. That resistance sets how log it takes the storage cap to "recover". Try throwing a 470k in parallel with the 1M and see if that shortens the decay time.