I use Benj. moore Linen white on all my ceilings and white 01 on the trim

I like the look of "wrap around" color and, personally, wouldn't miss the lack of white or off white ceilings. The only downside of your approach, however, is that when you repaint a room eventually, you MIGHT need to repaint the ceiling again (and 10 foot high tray ceilings are not the easiest to paint). I say MIGHT need to repaint because I am typing this from my study where the ceiling is yellow (from a previous decorating scheme) and the walls are now peacock blue. We repainted the offwhite trim and changed the walls to a strong blue, but our yellow ceiling was in fine shape and we let it stay yellow.

Not weird at all. Actually gives just the right amount of subtle variation. Walls: flat or sateen/velvet(depending on how a paint company calls it) or eggshell(depending on the room-kitchens/bathrooms/kids' rooms/dens are doing better with higher sheen level). Woodwork: semi gloss. Ceilings: flat (you can go also high gloss if you wish and if the architecture supports it but it should be done by highly skilled professional, and usually is prohibitively expensive)

It is your taste that directs the decision on the painting the beams. But i see no other lighting in your room but the ceiling fan lights. Your really need more lighting, whether table lamps or floor lamps.You will be amazed at the improvement more lighting will bring to your room. Will you be adding rugs,pillows or artwork to the room? These additions will also improve your room greatly. And please no mirrors!