What pretty windows. I love their proportions and trim. I am glad you are not going with shutters as to me they read more "wall" than "windows."

Would you consider a double curtain rod with sheers and drapes? I would hang only one on each window so that the treatments stack at the opposite side from the fireplace. You could pull the sheer to reduce light but still keep the view somewhat, and the drape to block light more totally.

You could also do the bamboo blinds + drapes if you don't mind permanently blocking part of the top of the window with the blinds. However, the top portion of the window is where the most light enters the room, so I would not do the blinds if you need full sunlight for any part of the day. I believe I read here that it's the top 20% of the window that lets the most light in, but I may not be recalling correctly.

Inside mounted sheers would be perfect to let in plenty of light while screening the view. Natural grass shades would block a lot of the light and all of the view but when your LR was lit up at night, They would be able to see everything: they just give the illusion of privacy.

You can purchase lined bamboo shades if you need to control the light. If you want it really dark, have them lined with a blackout lining.

Thinking sheers at this point-- simple, I don't have to deliberate over a pattern, inexpensive. Voile-a (can't believe I said that...)

Here is a link that might be useful: cotton voile sheers