I was thinking UltraTap. Tremolo, using the CHOP / SPEED parameters (upstream), in series with the UltraTap delay line. I’m not sure what your delay requirements are, but UltraTap is highly configurable.
You can use the LENGTH knob (and/or PRE-DELAY) with as single TAP. Or simulate a FEEDBACK parameter on a standard delay pedal with multiple TAPS, a positive TAPER, and an extended overall LENGTH.