It took me some time, but the beast is now finished. I really don't like doing those finishing touches, but finally, it doesn't look too bad. I put bicomponent polyurethane varnish.
A big feature I didn't tell about is that this guitar can be taken apart ! That's its "travel-guitar" side. The neck can be dismounted from the body, whithout removing the strings. It takes less than 1 minute to dismount/remount it, and the strings are almost in tune when remounted. I wasn't sure if it would have worked well, but it's working really well, I'm very proud of it.
Its sound is what I expected; unplugged, it sounds louder than a solid-body, which is basically what I wanted, with good mediums, thanks to strings probably (I put 12-52 flatwound strings). Plugged in, it sounds very good as well, the tonerider pickup is what I expected, a big round warm tone, perfect for playing some blues or some jazz. I'll try to record some samples, and a video of the manipulation to take the guitar apart and remount it.
Here are some pics:
Your comments are of course welcome !