I would go with a creamy soft yellow;)

creamy white....

I think a shade of white would be fine, but with a tiny amount of green or blue, so it is barely noticeable. It will still give you the look of a white room, but help bring the outdoor colors in, and reduce the starkness of a white room with lots of sunlight. Plain white can look too bright and you would lose your beautiful moldings. You might even consider using the same blue/gray you have in your adjacent space. It would look completely different with all the sun, but help to join the spaces.

A color like this still keeps it light and open but will set off your white trim.

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White is very nice. You can go with a off-white, but you would need to try a few to see which ones look best in your room. Light play a big role

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I personally think white white would be a bit start, especially if you paint the end tables white too, but a very light color would probably be nice.

If you go with white, I'd go bright on the accents. Love the bright blue drawers you have. And I think yellow accents look wonderful in a sunroom. Very bright and happy. This picture's a good idea of what I'm thinking. It also includes lots of wood accents like you were thinking.

Another option is to go colorful! Sunrooms are great for bright colors because they get lots of light so you don't have to worry about a color darkening the room. It's also very happy, which I think fits sunrooms well. Here's some ideas.

One final idea. Paint it white with a light blue ceiling to mimic the sky. I think that would be very relaxing with nature-inspired accents to mimic what's outside the windows. It would become an extension of the outdoors.

I think you could achieve that. Just pick a warm white, probably off-white. BM Swiss coffee? It's a warm white. Then lots of wood and light textures like linen or canvas or knit throws.

You could try to tie the floor into it using small accents like one of these light pink throws.

Or you could try to hide it with a either a soft, fluffy rug or a natural fiber rug (adding to the natural textures).

I think it'll look nice :) Post pics when you paint!