I use a drive more than an octave. I know the Nux has a drive built in, but I leave it on and use it to add some character to my normal tone. I'm thinking of maybe picking up another Hooker's Green Bassmachine. I had one before and it's a really nice, not over the top, drive pedal. Gives a nice rock tone.
But I'm interested in what all is out there.
The MXR Vintage Bass Octave and the "new" MXR Timmy would seem to fit the bill; neither is trendy or boutique or rare, but they're solid performers, and meet your size and budget requirements.