The constraints
The ceiling is the roof. There is no attic to fish cable through and the slab has copper radiant pipes you must not drill. Every wire has to travel along the beams, above the roof deck or in a surface channel.
What works
Shallow-recess LED fixtures in a slim surface channel painted to match the beams, wall washers mounted on the beams, and floor-level outlets fed from the exterior walls. Cove lighting along the top of a wall is the Eichler trick: it lights the wood ceiling and makes the room feel taller.
What to avoid
Standard 6-inch cans. They need five inches of depth you do not have, and cutting into the roof deck invites leaks.
Our approach
We mock up two fixtures on a beam, run them from a temporary cord after dark, and let you choose the beam angle and color temperature before any hole is cut.

