I vaguely remember that in discussions of the new capital form of the eszet, it being pointed out that German has recently undergone an orthographical revision which leads to the sequence sss often being present in words, which leads to awkwardness.
Surely the obvious solution is:
a double-eszet!
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And John: your idea for a capital long s will get you burned at the stake toute suite. Or at least as soon as I have found some matches 😄
A ligature most definitely should be used so that compound words can be read easily. Take "Esssaal" for instance. It's put together from "Ess" (eating) and "Saal" (hall). So the double s occurs in the first word. It can't be replaced by ß, because "Eß" is not a word, and would be pronounced with a long "E" anyway.
Instead, it should be "Eſſsaal", and that's exactly what you find in Fraktur. As the long s is no longer in use, German could very much do with an "ss" ligature. I wonder if that exists already?
Edit: I left Germany thirty years ago, and I am again reminded that my knowledge of the language is somewhat fixed in time. A quick Google search reveals that "Eßsaal" is indeed a thing. I don't know if that's a technically incorrect convenience, or actually correct. I have launched inquiries and hope to be educated. Ideally I just chose a poor example and my point stands, as I really like my idea of an ss ligature. Otherwise, I retract my statement.
English can top that, with four! —for instance, in the word “mllllon”.
Of course, these are no match for Swift’s lllllputlans.
You might be thinking of the dialect where everything gets voiced, which is indeed a bit of an oddity. On the other hand, de-voicing everything is standard in the entire southern half of the German-speaking lands (including Austria).