Braids and Plaits were mentioned. Also almost any wavetable voice would work. By changing the "index" in the wavetable synth you can get very nice timbral changes without doing a lot of work to get them. The same with Braids and Plaits as far as adjusting the timbre.

With an analog VCO (saw, triangle, square, etc.), you'll need a lot more modules to get any deep changes to the timbre. That can be a lot more expensive and an lot more room in your case.