Specs that we want to meet:

Motor Price Nominal voltage rating (This is not the voltage load) Torque up to (continuous) No load speed Mass Continuous Output up to Max Current draw Motor Type Dimensions (LxWxH)
Faulhaber B-Flat $98 6V 0.45mNm 15000rpm 6.9g 1.5W Brushless 15.5x15.5x8.8mm
Maxon EC 20 flat $82.25 6V 3.22mNm 9070rpm 15g Brushless 20x20x10.6mm
DCX 8 M Ø8 mm $104.63 6V 0.641mNm 11000rpm 4g Brushed 8x8x16mm
Series 1506N003SR $52.10 3V 0.363 mNm 11200rpm 4.3 1.12W Brushed 15x15x5.5mm
Series 1512U003SR 112:1 $113.32 3V 1.4mNm 11200rpm 7.4 0.5684A at 1.4mNm but to reach our desired 1.2 mNm it only requires 0.4872A Brushed 15x15x12mm
Series 1717T003SR 18.1g

Motor Justification