I'll let you know what I find. I had to leave it half-opened for now. I did what I could to remove the pinion gear, but didn't want to force it, so the proper tool is on the way. Should arrive this week.
I moved too fast and didn't mark my shifter before pulling the inner cover, so now I'll learn all about indexing. fun fun!
I hope to get at the trap this weekend. Will post results.