I'm keen to point out that in spite of transcribing a lot of music over the last 10 or so years I'm by no means quick at it - most of the charts that I put up take a few hours of solid work, others much more.
One trick that I use when I have a lot of charts to write in a short space of time is to spend my 'first pass' of the song listening to structure only. If you know where the pulse is, then you can create a neat little list of how many bars each section is, which might look like this:
V3 (breakdown) 8 + 4
Chorus 8 + 8
This gives you a head start when putting things into notation software, and gives you a bird's-eye view of the 'geography' of the song, which can be helpful when it comes to memorising it for a gig.
Rhythm is one of the most frustrating aspects of transcription, but all I can say is that over time you'll begin to build up a library of 'patterns' in your brain and instinctively know how to write out what you hear. I'm also a firm believer that better reading = better writing, so keep up the Louis Bellson torture...
FWIW, 'I Feel The Earth Move' is a tough one to write out because of all the syncopation, so fair play for not making life easy for yourself!