A couple options come to mind to get you started thinking. I haven't tried them myself. I sketched up quick schematics snippets.
Option 1:
Pros:
1. Soft touch SPST momentary switch
2. Simple mod to implement
Cons:
1. Feedback knob position affects oscillation amount
2. Delay Level could also be affected by the position of the Feedback knob
3. At low Feedback knob levels, the repeats could be shorted to ground entirely
Option 2:
Pros:
1. Oscillation amount is completely isolated from the Feedback knob
Cons:
1. DPDT momentary stomp switches usually feel clunkier than the SPST (at least the ones I've tried)
2. I'm not sure if there will be any click in the repeats sound when the switch is pressed
Admittedly neither of these solutions are perfectly elegant, so I assume there's a better way. (Maybe a more complex transistor switching arrangement). Option 1 should be easy to try out on your build with just alligator clips, Option 2 would require some more surgery. Keep looking around the net for PT2399 solutions like you already have been. Please report back if you find something or if you test out the above methods.