I would remove the trim that is making full length drapes a PITA to hang. A lighter color for the walls would be a huge improvemnt as far as light is concerned. Then add you blinds and then drapery panels that are full enough to be a ble to close and look good so at least 2.5 x wider than the rod . I like linen drapes but they need to be the right color of linen and I don’t see the point in the light filtering since you will have blinds to do that.I actually like solar shades for light and heat control and daytime privacy but keeping the view and then drapes that close at night for privacy.Some drapes like this with a darker trim along the bottom and sides might be nice.

Your giant crown moulding doesn't leave much room for drapery rods. If you do go for drapery panels, install rods as close to crown moulding as possible so you can get height for drapes. Extend rods wider than window so you don't get that strip of light on either end and also so the drapery panels arent covering window when they are open. Go for patterned fabric that includes navy, don't go for solid navy. Because you are really after privacy, I'd add blinds as well. I'd also lighten up wall colour so it's not same tone as your couch. One more thing, I'd pick one shade of white for your trim. Currently your door looks like a different white than the crown moulding. Good luck!