Your pictures are very helpful, as well as your explanation of how and why you did what you did.
The more I see and hear, the better I learn. If you just tell me once, I don't get it..

I'm thinking my idea is now going to work very well. I will install the AC under the bed, add a grille to the right of the AC, put an access in the bottom for the supply air, and vent the exhaust up and over to the side.
I like the idea of letting it exhaust straight back, but mine is on the front and I'm not sure I want a trap door on the front? I'll think about it some more.
Steve