IMO you have enough dark things what do you need from window coverings if just looks why not a nice faux roman shade that is never going to be down and it can add a bit of color to the space and just leave the door without anything.

You go with what you like...don't care what is in today because it will be out tomorrow. Vertical blinds are available in hundreds of beautiful fabrics...most of the time the same fabrics you can use for roller shades. Pricing depends on the quality of the fabric of course...there are cheap ones available at Ikea or even HomeDepot but their quality shows. If you want to spend a bit more for custom made shades, please check us out at www.PleatedBlindsStore.com or give us a call at 619.665.9446 Vertical Blinds

They have mix of light sandy paint and bit of white trim. Helping it, imo, is the also small amount of black trim on curtain - does it look 'purposeful'? Maybe you like bit of black for contrast. https://www.houzz.com/photos/kid-friendly-mother-approved-beach-style-family-room-new-york-phvw-vp~14914179

I would do soalr shades on the top windows to control heat and damaging UV rays and I would make those probably custom and permanent then the same for the lower windows but able to be rolled up on cloudy days the drapes as shown for a nice look IMO the windows do not lend themselves to sheers. BTW the solar shades allow you to keep the view and if you do not need privacy at night just leave the dapes open but always make the drapes be full enough to be able to close not just skimpy panels that really look cheap. No lights are needed there and if you do not do the solar shades those floors and everything else you put in that space will fade .I also think that FP is too unassuming for the windows so I woiuld be looking at taking a nice porcelain large format tile to the ceiling with a nice thick mantel in a wood like the floor. BTW drapes near a FP are never good so maybe just romans shades in the same fabric as the drapes for those windows and please do not put the TV above the FP. I would also close the passthrough it will give you a nice wall for a TV , storage,display arrangement I deally in a wood like the mantel