Near Sunset Plaza for coffee and a place to grade
Best suggestion, period.
However, on Doheny, there is La Conversation, meaning just north of Santa Monica Blvd., east side of the street. Not bad, yet still not Peet's, yet a bit more homey, as that particular Peet's is a bit sterile.
638 N Doheny Dr, West Hollywood, CA 90069
Walk right across the street to the Andaz . The RH is a great venue . Order a cup of coffee (or whatever). You will be comfortable and you will feel welcome. I am confident that no-one will intrude on your space. If you decide to have food, you will have a fine selection. I saw a couple of friends having a very private meeting. They were happy to have the time and space. RH is great for this.