Making exposed structural wood look nice
Aesthetics of a home design is very personal.  I like the uniqueness of your Structural bed frame. I don’t think it needs to be covered with wood trim or gypsum board. 

I have two fireplaces in my house...one is a large brick fireplace and the other is made from logs off the beach. Everyone that sees the brick fireplace comments on this one unique brick that is extremely twisted. They love it. Everyone that sees the log fireplace comments on the rusty steel connector located at one end. They love it, but everyone misses the rest of each fireplace. 

My point is: make it unique. Go ahead and finish the rest of the bedroom but leave the structural wood exposed. I’d finish it with transparent stain...don’t paint it and try to “cover it up”. 

There’s a “thing” in design that says put opposites next to each other...they’ll accent each other’s qualities. That is to say, putting a piece of wood next to a gypsum board wall, will make the trim stand out and the gypsum board look monolithic. 

We design custom homes that are all white in a natural wooded environment so that the house says, “I’m unique to this environment.”