The Century Past website has a number of books and articles about experimental communities. Most were based on community property rather than private property. Some were religious; some secular.
You’ll find the works at the pages shown, listed alphabetically by author.
Baillie, William, Josiah Warren, The First American Anarchist; A Sociological Study (1906)
McKinley, Kenneth William, “A Guide to Communistic Communities of Ohio” (1937)
Randall, E. O., “The Separatist Society of Zoar: An Experiment in Communism – From its Commencement to its Conclusion” (1899)
Bakken, Dawn E., ““A Full Supply of the Necessaries and Comforts of Life”: The Owenite Community of Blue Spring, Indiana” (2011)
Bestor, Arthur E., Education and Reform at New Harmony: Correspondence of William Maclure and Marie Duclos Fretageot, 1820-1833 (1948)
Denehie, Elizabeth Smith, “The Harmonist Movement in Indiana” (1923)
Elliot, Helen, “Frances Wright’s Experiment with Negro Emancipation” (1939)
Lockwood, George B., The New Harmony Movement (1905)
Barber, Edward W., “The Vermontville Colony: Its Genesis and History, with Personal Sketches of the Colonists” (1900)
McIntosh, Montgomery Eduard, “Cooperative Communities in Wisconsin” (1904)
MacLean, J. P., “Origin, Rise, Progress and Decline of the Whitewater Community of Shakers, Located in Hamilton County, Ohio” (1904)
Youngs, Benjamin Seth, “An Expedition against the Shakers” (1912)
Flower, George, History of the English Settlement in Edwards County, Illinois founded in 1817 and 1818 by Morris Birkbeck and George Flower (1909)
Snedeker, Caroline D., Seth Way (1917)