Greetings!
Before My husband and I bought out own farm we were looking into this as well. At that time we had three chidlren and found it incrediably difficult , ok impossiable, to find something that was suitable for a family. Mostly because the palces we found didnt have the living arrangments for a family. They were set up for singletons. So what did, because we knew we realllly needed to do this (we wanted to see if farm life was really for us) we asked friends who had farms and friends of friends who had farms if they would be willing to have us homestead on their property for free in exchange for work around the farm. We didnt ask for food or anything, just a small plot to pitch our tents ,access to running water and a plot to plant. We finally found one that would take us, 100 acre horse farm. It was an amazing experience. We homesteaded from May -september in exchange for morning chores with the horses.
So my advice is to ask around people you already know, that know you, or a friend of a friend. It just seems , in my experience that that is the best route for this experience.
Good Luck
Sarah
edited to say : p.s we stayed there till September, started looking for our own place, bought our own farm in Febuary and we have been here for three years and ever summer have taken on "helpers" on our land EVEN ones with children..lol