This is a great question. I have similar trouble remembering mimetic adverbs. I haven’t found a good resource for practicing these apart from flashcards (Anki). You do tend to encounter them more often in popular media, though. So as @jmadsen recommended, you can try watching anime, but I would also add reading manga and playing visual novels to that list as well. If you don’t like that kind of thing, watching popular TV shows or reading graded light novels might be good alternatives.
The downside is if you’re studying specifically for the JLPT, you’re probably going to encounter a lot of stuff you’ll never see on the test.