You can put the first GFI in an area that the LED won't be a problem and then daisy chain additional plug off of the first one and have the full protection. The instructions how to do this come with the GFI. Just a thought.
For better or worse, the installation of the GFCI outlet inside the darkroom was completed before I realized the LED would be an issue. Not too worried, though. I'll just have to sacrifice a piece of gaff tape to The Cause. ;-)
[Sorry, I somehow missed your post when it first appeared. I'll check that I'm subscribed to this thread...]