When I got out of the Air Force (after 4yrs) I stayed on my old mans place in an 10X24 travel trailer.
It had a toilet but no hookup, so I built me an outhouse, of course you would probably have to use a bluebox, maybe you can rent one.
That's how I lived from march to 0ctober when I got back in the military (they offered a bonus).
As long as the trailer is a roof what don't leak, run an extension cord off a pole (have the power company put up a construction box).
Tell them (the city) you are demoing the trailer.... or planning to build... and get one of them $35 permits, unless as you say, there are no restrictions.
You can have a construction box run to an empty lot if you want, so you don't have to have a permit for that.
So you have power and water....get you one of those big sheds for the $200 a month, then rent one of them blue boxes for your toilet (they probably charge per month), then all you have to do is build you a tent for a shower area.
And save , save , save
Good luck on your endeavors.....
better yet.... find you a rich old widow and be a gold digger, or a boy toy..... could be fun for awhile