Not worth it. But... if you could trench your way in with even a single 20amp circuit, it would open up your options. We will discard this though.
I think this is best
I would add a mechanical room to hide everything. This would be the core facility, but you could also run the same setup on each yurt, especially if you can work a fixed mechanical room onto each yurt (even a closet size one). I think tent when I hear Yurt, but I am not sure what you will be building these out of.
I would just run a breaker box/distribution panel for the campsites and bury everything in conduit. You will not need much power for this assuming you are going to let your patrons know that they can't run 12 gigawatts worth of crap. It's camping after all
That works, but you have to vent them. I was thinking pure electric. The demand for electric is like 5000w for a decent flow rate, and you are feeding four showers.