Everything you have said convinces me that distributism works in agrarian economies and tribal economies and that its application (at least to the very extreme degree you are posing) lost all relevancy with the industrial and technological revolutions.
Everybody self-employed? Are you crazy? That is a 7 billion person disaster in the making.
If I have to go live in a hut without electricity to be a distributist, count me out.
I don't think anyone would believe that you should do without electricity or go live in a hut. I didn't say everyone. I said most people.
Also the principle is subsidiarity, which means that control should be at the most local level possible. Families should respect personal autonomy, communities should respect family autonomy, etc.
For larger projects, a number of solutions are possible. You can have worker-owned businesses, and the nature and structure of W. L. Gore and Associates (3000 employees, 3 billion in revenue) strikes me as being very distributist both in its ownership (owned by founders and employees, and their families) and their internal structure (the business functions like a giant collective of self-employed people --- there is no management as such but rather leadership distributed throughout the organization). If you haven't heard of that company at least you have heard of their flagship product, Goretex. Several other businesses with more traditional capitalist ownership structures have based their operational structure on Gore. These include the video game development house Valve, and also Github, which specializes in hosted solutions for software development, but Gore itself makes stuff out of the same plastic you know as Teflon (Goretex is teflon that has been stretched until it becomes fibrous).
Another solution, and this is where distributists seem less than right of center is that where you have a natural monopoly (roads, last mile internet connections, electricity, etc), the local government can take over and provide this. Since local government tends to be more directly accountable to the community, this works pretty well. Now, I would say this should be narrowly run to encourage rather than thwart competition. The government should run roads, but not shipping services and taxicabs. It should run the physical infrastructure for telephone lines and internet connections, not provide service on them.
So no, your electricity should be provided by a county public utility district, along with your internet access and phone line. However this should be done so you get your choice of phone company and ISP, areas where we currently have very little real competition.
Before you say that's pie in the sky, rural (mostly Republican!) Chelan County Washington has such a system and as a result you have several choices for phone service even excluding voip, and easy choice (and movement) between a dozen high speed service providers.
But the question is who owns the land and tools. In our current system it is the investor or the bank. That's what capitalism means. The communists would solve the problems of this system by having the state further centralize control in the name of protecting the worker, but you end up with all the same problems plus the additional issues of state control. Distributism seeks to put that ownership in the hands of the worker. As G. K. Chesterton put it, "Too much capitalism does not mean too many capitalists, but too few."