Saving the best for last! Here is the final Rush drumless cover that I created in 2006.
This one can be tricky without vocals or a click track in certain spots, so here is an mp3 you can download that contains a subtle click:
http://www.rockdebris.com/audio/drumless/tomsawyerclick.mp3
Now go destroy some drums! And if you do record your own drum playing over this, let me know. Post it as a video reply. Thanks!