I think it might work. A lot of what Joe Pera does is sort of deadpan humor anyway, so part of the joke is lack of tone or emotion. His voice is very calming because he's sort of monotone.
https://www.youtube.com/watch?v=DSUilYKcRMA
Here is a link to the full episode of "Joe Pera Talks You Back to Sleep" which is a beautiful episode. Give it a shot and see what you think. The autogenerated closed captioning available on this episode seems mostly accurate to me. DVD copies have great subtitles, not sure about digital variants.