One of the biggest issues with shutters is the dusk and if you employ cedar they will fade unevenly in the sun. I think the best resolution lies in the glass. This will give you your privacy as well as low maintenance with the view unencumbered. There are glazing solutions that can be "switched on" to obscure for privacy. This may give you the best of both worlds. Fantastic View what a great place for a bath...

I have done extensive research because I have same problem as yours. For the bedroom get double roller blind one is sunscreen you can see out during the day but no privacy at night and the other blind is either block out or light filtering. As far as sunscreen goes the darker the colour the better the view outside, so you can go black , but I would not have the second blind in the same colour because once it's down at night you have this huge black window in front of you, not that nice. You would be better of matching your block out blind to you wall or other furniture or bedding in the room. Instead of roller blind you can have Roman blind . I have gone with Roman's because they are fixed at the cornice level and a bit wider then the window so it looks softer and yes I used textured fabric. If your windows are big it's worth investing in motorised blind but only for the one that will be going up and down all the time not sunscreen. It's about $700 per motor. ( I should be a blind consultant lol).

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handles on windows and doors may make it necessary to mount the blinds outside the frame..the other drawback with inside the reveal is that the open blind will still cover the top of the glass ....check the depth of the reveal and ask the blind manufacturers about how much space is necessary for the blinds to function without being caught in the handles and you will probably find that both blinds mounted outside the window will fully expose the glass and your view when blinds are open