I have used nothing but Kensington Expert mouse, which is a trackball, but quite large, for many years.  it has the ball that is rolled with the fingers and not the thumb, gives very good control.

However, the Expert mouse is not in production anymore, they have  newer models which I do not like as well.  The Expert mouse is not optical, it has to be opened and the small ball bearings that serve as the sensors have to be cleaned periodically'  I believe this is a small price to pay for the control and something you set on the keydesk and it stays put. 

The last time I looked,Kensington had two different models with the larger ball, the ball itself is about 1 3/4 inch diameter.  I do not like it as well, and of the two models, the more expensive one is, because of the software, a dud.  I haven't tried the cheaper one, but as mine are getting old now, may be forced to.  The newer ones are optical, dust, cat hair, etc., should be less of a problem.

Doric

The "I" in Doric is Silent.