Hi DB.
My suggestion is to retain the trimmer. It is factory adjusted to optimize the QC frequency, and removing it may alter the accuracy of the watch.
Your last option seems a very good way to go. Just remove it and relocate it on the Pulsar plastic sleeve. I've done this once with a QC, I've added a small section of wire to relocate it, it works flawlessly. Another option is to perforate the plastic sleeve and make room for the trimmer. It is brutal, but if it won't interfere with batteries or anything else it is a quick fix. Check CompuChron's post on his Pulsar (Viva Italia). I had no choice there, since Hughes modules have a press-on QC. I perforated the sleeve - ugly, but working.
Don't forget to post the results.
Al. :D