With new construction, I suggest creating a series of
step details that hide a linear light that runs around
the perimeter of the opening. This doesn't keep the
skylight from going black at night, but it does add some
visual interest both at night and during the day.
If you want to put lighting where a skylight is in the
way, you can consider using recessed adjustable fixtures
flanking the skylight or mono-points with
single track heads on the sides of the lightwell.
QUICK TIP:
If you have not specified your skylights yet, I suggest
selecting ones with a white opal finish. This diffuses
the light and distributes it more evenly into the room.