I do have the compressor, distortion, clean portion, and filters created and working in a pedal form.
Well, that should give you the Rockman sound!
I just hate giving up when I read others have built it and got it to work. I believe I either have a bad MN3007 (but voltages indicate it works), or bad 4013 chip. I swapped out the 7555 for a 555 chip
If you've got good clock signals and good biasing, and you still don't get any output, it's possible the MN3007 is bad. But faults in either the clock or the biasing are much more likely. I recently exchanged emails with a chap who could get his Flangelicious to flange - he thought the BBD chip must be dead. I suggested checking the bias and it turned out he'd inadvertently used a 1K instead of a 10K for one of the bias resistors.
Do you have any way to see or measure the clock signals? One way in a pinch is to increase the size of the clock timing cap so the frequencies come down into audio range, and then you can hear if it's working with an audio probe - and can hear if the LFO is modulating it correctly too.
CD4013 isn't too bad to get running, but you need to make sure all the pins are tied to the correct levels, either high or low. That's at least simple to check, going around with a continuity test.
That brings us to the Rockman's unusual BBD input biasing. This would be my chief suspect. Pin 3 needs to be at the right level or no signal will go through the BBD. Often there's a trimmer to adjust this, although it's possible to do it with fixed resistors instead. This schematic basically uses the 0V level as the bias, but shows an (apparently optional) single diode and a 10K resistor to push the bias away from ground by 0.6V. This is the only adjustment you get. I'd be inclined to take those components out and add a trimmer and a cap so the bias is adjustable just to see if that didn't help get it running.
The MN3007 datasheet suggests a pair of 100K resistors and a 3u3 cap to make a midpoint bias supply, but suggests that the lower resistor should be "adjusted for minimum disortion". On a proper bipolar supply, the situation is slightly different, but you can still create a virtual ground for this bias point alone.