I have not used them, but have seen these: Fenstermann.

try blinds.com. i've used them many times. great customer service too.

You recently had another post asking for ideas for this entrance/sunroom. Here's an inspiration photo.

any inside mount blind will sit proud of the trim, that's pretty standard.

I agree with @Beth H. : I too use Blinds.com and have had great luck, they often have sales on most holidays, keep a look out.