This is not with the 3 distortion pedals all together, just individually.
Do you mean not all on at the same time?
I've read a number of times interviews in Tone Quest Mag. with pedal makers that certain pedals for sometimes know/understood/fixable and sometimes unknown reasons, don't like to follow after others. They will act squirrely --and/or-- make noise of different types, ect. Also sometimes they wont sound as good as they can --only you wont know it-- until you switch around the order.
Distortion pedals and wha's are prime candidates.
Having the verb first can cause big problems too, verb generally goes dead last in a pedal chain.
Try hooking up -only- 2 pedals at a time in each conceivable pairing, no others hooked up in line, then try the same in 3's. You might be surprised by what you find noise/problem wise --and-- tone wise.
Yeah it takes some time but it well might be worth it.
I would still do this even if you get good results by trying new/different patch cords.