Do you have pictures of the room or the wall color? I would suggest buying a more neutral look since furniture can easily change. I'm always a fan of bamboo shades. They're so natural and complimentary to almost any room.

Why roller shades? I would not find roller shades a very complimentary look with either of those chairs but drapes would be more fitting idea.

My home is very contemporary/modern. I have flat Roman shades in neutrials throughout. I think they look nicer than roller shades but still contemporary.

I would think you would want something as neutral as possible.

I just finished a remodel and much of my furniture is shades of teal blue - my floors are light oak. Walls are painted a neutral light cream (DE Milk Moustache).

My shades are a light cream - I look at samples and the fabric I selected seemed to be the most neutral - not too light/white and not too dark. They were installed last week and I'm happy with them - they are the kind that has a certain amount of transparency as well.

FWIW, I wasn't looking for my shades to make any kind of statement. Most of the time I won't have them down as I don't need them for privacy. I only use them in the morning to block the glare of the sun and minimize damage from the direct rays of the sun.