The Quiraing is all about the scenery, the riding is mostly incidental IMO. There are some nice bits of track but nothing that links together all that well.
If you only have two days I would recommend either going to Skye or going to Torridon.
The scenery and geology is quite varied in both areas so two rides quite close together will feel totally different. more riding, less driving.
If you go to Skye, you could do Sligachan for a rock fest type ride or Durnish peninsula if you want epic views and an all day ride. Then do the Quiraing just for the views.
Torridon, something like the big lollipop ride thing mentioned above one day and Ben Damph circuit the next would be brilliant.