There is a product called sheer shades which are kind of a hybrid between solar shades and horizontal blinds. I don't think that many people know about them. They can roll up completely out of the way, or act as a solar screen and provide decent room darkeing when you close the fabric slats...
This comment relates to saving energy... Once you have sealed your windows you might consider some energy saving window blinds like cellular shades. They come in single, double and tripple cell. They are a good long-term investment and make a pretty big difference.