Mike,
Much like the shower faucet box in the head with a flush cover, they make sunken faucet boxes for use on the outside of boats and camper trailers. I suppose a faucet with an extendable hose would work.
Relating to air hoses for portable a/c units, I like the De Longhi with both intake and exhaust hoses since there is definitely no need for draining or secondary openings, BUT, if you had the unit in or near the shower compartment, there is a drain in the floor there so a short tube could run the condensate down there.
The provided 3 inch hoses are about 3 foot long, extendable to 6 foot long and one or both should fit into the head window. Note that those old fashioned flexible air scoop type vents (like miniatures of the old cruise ship vents) are available in 3 inch diameters.
I initially built a tight fitting plastic window replacement for my bow window vent tube, but now just pack a towel around the two 3 inch vents when they are sticking out the forward berth window to Port.
Most portable a/c units with a single hose have a condensate drain, but are cheaper anyway. The single hose would easily point out the window. If you wanted a more permanent exhaust opening, those pre-made vent systems of any good brand name should do the job.
Again, my thought it that I rarely use the stove in the cabin in the summer, so that is dead space, and I would not mind sliding the a/c unit forward to use the head either. So, either space could be put to better use.
Mike, you are definitely making us all use our noodles here!
ps, I have some old school bus seats in my barn...
John