Recently travel photographer Greg Vaughn published Photographing Washington of which a chapter is dedicated to Mt. Rainier National Park. I have reduced the information in the chapter to Web pages, Photography Places in Mt Rainier NP along with a map of the places in the book with a few variations.
While the book is an excellent resource for photographers visiting Mt. Rainier for many of the best places to photograph, it's doesn't present all of the places as the many are in the backcountry far from the visitor areas and locations and far off the roads requiring long day hikes or multiple day backcountry hikes.
That said, I highly recommend the book if you already photograph places in Washington state or plan to visit to photograph places in Washington state, and the chapter on Mt Rainier is the best presentation I've seen to date.
It encompasses many of the most and often photographed places in the NP and some of the lesser known or visited places. It opens the door to what other photographers will tell you, some of the best places are in the backcountry, where over 90% of the NP is open to photographers away from the tourist and photographers.
And this is good won't get old or out of date for information, the NP is always there waiting for you.