If you can find one cheap, the Yamaha QY10 would do the trick. It’s the smallest I know of, old or new.
Plus the internal sounds turn into some pretty nice abstract digital noise if you play them down in the bottom octave.
If you don’t mind layouts other than a traditional keyboard, the Boss DR-5 Dr. Rhythm Section is also worth a look, you get a tiny isometric control surface with a pretty good chord mode that could be really useful with the OT’s arpeggiator (about 20 different chord types with 3 or 4 voicings per type), plus a terrible pitch-to-MIDI converter that has creative misuse potential and it can run on a few AA batteries. Plus a simple 4 track polyphonic sequencer that’s more accessible than the QY10 and could be handy alongside the OT if you want to break out of the step sequencing sometimes.