You can always take a derivative of a public domain work and relicense it as whatever you want. People do this all the time with the Bible, fairy tales, old books, etc... Publishers will often republish old works under a new copyright; in practice this means that you cannot copy the republication without permission from the publisher, but you can still copy the original words and images without any restrictions. Disney has made an absolute fortune retelling public domain works under an "All Rights Reserved" copyright and has spent millions, if not billions, on lobbying the US government to ensure their copyrights do not expire so that they can continue to sell Snow White over and over, despite the fact that a significant chunk of their catalog is derivative works of the public domain.
There is no legal obligation whatsoever to dedicate derivative works of public domain works to the public domain. It may be considered fraudulent to claim authorship, but that does not necessarily prohibit you from claiming copyright, which in turn, would allow you to relicense it in whatever way tickles your fancy, including dedicating it to the public domain (or simulating such by licensing it as CC-0). You always own your own additions and modifications, no matter how small. While that doesn't stop others from going to the original source, it also doesn't stop you from relicensing derivative works of the public domain in whatever way you see fit. There are no compatibility issues because public domain doesn't come with a share-alike clause. There are no conditions. There are no limitations. It's public domain.
Especially cautious lawyers might not take this at face value (which is why e.g. SQLite offers licenses for cautious corporations despite being public domain, or why Nina Paley has had to sign waivers of permission to various universities despite her works being CC-0/public domain and therefore theoretically not needing such permission ever), but the idea of dedicating things to the public domain implies that you have waived the right to sue for copyright infringement, and the natural lapsing of copyright implies that there is nobody left to sue for it.