Love the idea of your family getting back to basics with a smaller home, home grown food. Something I wish we would have done.
Here in Minnesota I do see travel trailers set up in a couple mobile home parks used as year round living. Had a neighbor who's son and wife lived in theirs for 2 years in the back yard. Wasn't legal but the neighbors here aren't very nosey, they were tidy and quiet about it. They winterized it in the coldest months and used mom's water in the house. Used an electric heater plugged in for heat and did a nice skirting around the trailer. It was on older 70s unit nothing new or fancy, 20 foot range.