Typically with beam ceilings I use track lights but I really have no idea what the space is we are trying to light...

Yes track lighting but I have a feeling you need more task lighting closer too you. we need to see more from the actual "room" wall sconces might also help with fill light.

I’ll find some photos tonight. I’m not huge on track lighting, but I totally see how those would work well with the beams. I was hoping I could find something low voltage to minimize the size of conduit, though I’m fine with an industrial vibe.

Here's a photo showing one end - a bit messy as at the time it was under construction. I don't yet have a proper floor in, but I'd like to get the lighting sorted out first. Right now I'm storing some construction materials so it isn't nice enough to take photos of.

It's 19' side to side, and 30' long. Knee walls are between 4-5', and it's about 10' floor to top of center beam. I want to install a ceiling fan between each bent (think cross-section of the timber frame, where the posts come up).

ceiling fans go with a42 or 48" you dont need 52, this will let you keep it tucked up a bit more.

you could have a light on those and then I would be doing task lighting on desks this will avoid the strobe effect from fan blades cutting the light.