I think you are saying roman shades would work the best. So does that mean roman with an outside mount? Could I do a regular roller shade on the door and then have the curtains start at the windows? As far as what I need—I don’t have any glare or temperature challenges. I need a light filtering option with privacy whether it is curtains or shades.

Yes outside mount and the same on the door .

I have shallow window inset, as well, so I added a small trim piece that I mounted into the surface that I had, which in your case would be the 5/8". Then I was able to attach shades to that trim piece for an inside mount. It does stick out a bit beyond the window, but much nicer than covering up the molding.

I would treat the window as one with a Roman shade or a curtain rod hung above all the windows with simple sheer panels. ( not floor length. jut to the window sill.) Then use a matching Roman shade or sheer panel on French door.

There is also that film to cover windows for privacy that can cover the door.

If you do sheers on the door you will need a curtain rod at the bottom and the top. you can get custom panels for doors but i just use a full length panel gathered on the bottom rod with the hem draped and pinned on the top.

Thanks everyone. This is really helpful.

These cellular shades only require 5/8" depth to mount- they won't be fully recessed though.

https://www.blinds.com/p/blindscom-premium-light-filtering-cellular-shades/530122

I had an equally wonky situation with a 170 year old house, with insanely shallow windows, and didn't want to cover window trim.

I would go with roller shades or cellular. I think curtains and romans will feel too stuffy and too much fabric for the nice, clean architectural vibe you have going on here. But, I totally get not wanting to have ugly cassettes mounted on your trim.

Would you mind some kind of custom cornice box in which these are housed? What if it were wood and painted the same color as your trim and only stuck out from your wall 2"?

Here's one I found in a tutorial. If it were painted to blend in it could look much nicer than a cassette.

Great ideas already - another option would be simple white sheers custom sized to fit each window, each hung with a low profile tension rod

Thank you for all the great ideas!

I’d test a French return rod, 3/4 of the window covered with cafe curtains. You can find some really slim rods, a gauzy linen, and plenty of the moldings would still be visible