I can't find any other books like Taeko Kamiya's The Handbook of Japanese Adjectives and Adverbs, at least not in English. There are books with Japanese grammar exercises in English, for example:
While these books contain exercises that focus on adverbs, these exercises take up only a small part of the book.
There are also a number of exercises on adverbs (and adjectives) in the German Übungsbuch zur japanischen Grammatik (IUDICIUM, 1998).
For books focusing on adverbs, you're better served with books in ... Chinese:
However, these books are either reference works or grammar books without exercises.
That does not mean you can't make any exercises. One way of creating exercises is taking example sentences from books like these and turn them into cloze tests. You can add such cloze tests to a spaced repetition system such as Anki.