Imagine some computer work with a class of high school kids, where a teacher has to send them a file... there will be maybe three full downloads max, before someone presses the "delete" button.
Sending files anonymously and sending files easily seems like mutually exclusive problems. If it's easy and anonymous, it's too easy to abuse. The teacher should just be using file storage that is tied to an account: it's not as though they're trying to stay hidden from their students
For a lot of use cases, simply sending the address of the deleter to whoever sent the file would suffice. Next time, just don't send it to them, or apply real-world consequences.
Sure, it wouldn't work for a large public setting... but it'd work for many other settings.