Presto wasn't really "over-produced". That album began a stage of going with less effects, less keyboards and whatnot. Here's a good video, and really the whole documentary is very good.
http://www.youtube.com/watch?feature=player_detailpage&v=4vhR1tcxAIQ#t=375s
Anything on any RUSH album was made to be able to play live. Any little tiny electronic sound you might here is either played on a electronic drum pad by Neil or on moog pedals/synths by Alex or Geddy
My favorite drum sound of Neil's would have to be Hemispheres for it's cripness and cleaness.
Edit:
Here's a litle qoute from Geddy i found.
"We wanted [Presto] to be more of a singer’s album, and I think you’ll notice that the arrangements musically support the vocal
. . . . Neil’s lyrics to me are a lot more heartfelt. Presently, they’re experience oriented. I think they deal with living . . . This album was a real reaction against technology in a sense. I was getting sick and tired of working with computers and synthesizers. Fortunately, so was [co-producer] Rupert [Hine]. . . . We made a pact to stay away from strings, pianos, and organs—to stay away from digital technology. In the end, we couldn’t resist using them for colour."