Sharon -
I currently have the bunk modelled with 2"x2" supporting beams because I thought 4" beams would take up too much space. I do have two 2x4s in the design - one on each side of the bunk, but I may replace these with more 2x2s at your suggestion - I'll see how it looks in the CAD. I mostly just guessed at what looked right based on bunk beds I've seen previously.
I'm not quite sure what you mean by cantilever - do you mean getting rid of one of the supports that will run to the floor? That's what came to mind, but I am not sure how I would accomplish that. I've already planned one door:

I'm planning on using the support beam to help support the 26x36 door (also, doors are crazy expensive!). For the bottom bunk height, I moved it up as high as I could - 15" instead instead of the 11" I had previously. Plus, it does not cover anywhere close to the entire area of the queen, so that may help. The bunk bed only has 16" clearance at its highest - it may a rotating position during the trip haha. I would cut off some of the corner that is touching the front end of the trailer in order to move the entire thing closer to the front, however I believe that may end up giving the occupant too little room to comfortably sleep.
Good point on the sleeping arrangement! I'll be sure to keep that in mind for later.
As a side note - I've started researching amenities such as electricity and basic plumbing + hot water for the galley and a shower - it's a whole other rabbit hole! Also started looking at wood and foam pricing- a lot more expensive than I thought, the best foam costs almost as much as the wood, so probably going to go for 2" EPS foam.
Thanks for all the help!
Will