what's underneath the pine? attic, floor space? can't you run electrical above it and do recessed lights?

you could do a faux beam (or sheath) over the real beam

the other option is conduit painted to match your beam stain

or, some type of cable railing lighting

track lighting

Hi Beth! Above the knotty pine is plywood, insulation, TPO roofing. Our roof is completely flat. I actually like the idea of faux beams over the existing one. That wouldn't be a bad idea. The beams have natural cracks in them which are an eye sore. The faux beams would those come with lighting pre installed or is this something that is custom made? Asking because through every room in our house we have the knotty pine with beams. I'd want to have the faux beam matching as close as possible.

you could prob run the wiring inside the sheath somehow and then recess some smaller lights in the faux portion. (like in the picture)