By your symptoms, i’m assuming you have an older version of the Quaverato, which had a relatively low input impedance. Try putting a buffer pedal before the Quaverato…basically any non-true bypass pedal should work…even a Boss pedal that’s not engaged. That should help dive your Quaverato better. Alternatively, you can adjust your tone trim pots to your taste while it is in your pedal board. This may be a better option if you don’t want to put a buffer pedal before it.
-Brach