An affordable and period correct aleternative that would be safer, less maintainece and more photogenic would be what was called "Lawn Fence, that was used from 1890-1930 (until the chain link fence took over) here is a link:
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books.google.com]
it is sometimes referred to as "double hoop twisted wire, and is usually built without the top bar, so basically set posts. It is also no-maintainence and I regularly find example 100 years old in good shape, and several manufacturers still make it!
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books.google.com]
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books.google.com]