Haven't tried Octave pedals with my DB, but if you're happy with your pickups... chase different pedal options first.
Also...
a second separate pickup (eg. Bridge mount piezo) just for effects would be another option. A A/B switching pedal could work - select either or both pickups, octaver between the PU and A/B pedal. Also rather complex.
Also...
a second separate pickup (eg. Bridge mount piezo) just for effects would be another option. A A/B switching pedal could work - select either or both pickups, octaver between the PU and A/B pedal. Also rather complex.