Another idea would be rods and curtain panels. I would choose white or a very subtle, small white and gray pattern in a heavier linen-type fabric.

Love the colors and patterns! Looks great, I agree that roman shades would be a nice clean window treatment that would fit in with the rest of your design.

I agree with Rita and Abbey. You can get stationary ones since you don't need them for privacy.

I would go with one panel for window.

Here are some Schumacher fabrics I thought might look nice. I like for color and pattern to be integrated into the decoration, to be part of the whole.

Cap Ferrat

Schumacher Mary McDonald Chinois Palais Drapes

I realize Schumacher may not be in your budget- historically, it has not been in mine either. But it is nice to see what can be done with beautiful fabric. Calico Corners carries many great patterns at relatively reasonable prices.

Plus, of course, I realize these colors are not necessarily correct at all. I am thinking more in terms of inspiration, not specifics, since specifics need to be chosen in real life and not online and according to budget.

These two are from John Robshaw for Duralee- much less expensive than Schumacher and I think rather nice for your room.

Robshaw Mani Terracotta

Prasana in Saffron

I would do something like this

I am starting to prefer the panels as well. I think they pull everything together better.

This is not responsive to the original question, and I love what you've done with the room, but the rug is disturbingly too small.

This "under rug" [a good idea, maybe] would cost more than new, larger rug:

[https://www.houzz.com/products/anji-mountain-8x10-andes-ivory-jute-rectangular-rug-prvw-vr~111987685[(https://www.houzz.com/products/anji-mountain-8x10-andes-ivory-jute-rectangular-rug-prvw-vr~111987685)

Really nice space! I think if it were mine, I would either leave the windows bare, or put simple neutral drapery panels.

(And um, I feel like the art over the sofa is about an inch too high.)

Nice space. I like the outside drape panels for the two windows behind sofa. Look at pattern and colors that pull the coral as well as the colors from your art.

I would bring back the shutters for the larger picture window and the window across from it. Shutters are fabulous / best option for heat control as well as protecting your fabrics from UV damage/fading from sun.

Looks great. The orange chair would look great on left side of window w/cool floor lamp and small drinks table.

Lovely space! Each piece of furniture seems thoughtfully selected to combine black as a cohesive whole. Love the rug & painting!

celerygirl's image is the nicest, in my opinion. The long breezy white gives the room an almost tropical relaxed feel when paired with the picture, rug, and large plant.