There are 4 2x6's that run along the marriage line of the living room ceiling, and the ceiling is slightly vaulted. There was a ceiling fan installed in the center of these beams, which was very wobbly even at the lowest speed so we never used it. I removed the fan, and found out why .. it was basically hung from the ceiling by a hook! a big hook was screwed into one of the 2x6's and the fan was hung from it with no bracing or anything. It looks like the wiring is run inside the drywall that encases these 2x6's.
I'd like to install a ceiling light in the center of the room where the fan used to be, but there's no junction box. I can't just cut away the 2x6's to install one (can i?).. how can I get a light installed? I'm thinking I could probably install a j-box to the left or right of the beam, but I don't like how that would look. Any ideas? Are there ceiling lights that have built-in j-boxes?
You can see the wiring in the upper left of the pic:
