Hi jordy,
Maybe here (points 12 and 13) you can find something useful to move rotate/pan/zoom your view with the keyboard, then you’ll have your mouse free to click anywhere you need. The disadvantage of doing it this way is the stepping movement of the camera throught the arrows control… There must be a way to change the step values in order to make this movement more fluent, but I couldn’t tell right now… I’m asking here…
Another option is to get an space navigator… that obviously depends on how often/lucratively you use Rhino or any other 3d software. There is no way back once you get used to this gadget!
Hope that helps.