If you’re just looking to recognize words that are usually / only kana, I’d recommend Torii. It’s an SRS like Wanikani, and it has all of the kana-only words from the 10k deck (as well as every other word from that deck. You can even learn all the 10k words, but filter out the ones on Wanikani).
If you’re looking for a way to recognize words made of kanji from their kana alone (and are willing to spend a little money), I’d try Kitsun. It is, again, an SRS like Wanikani. It’s similar to Anki, since it allows you to make your own cards, including importing words right from Jisho, and set review intervals and card layout. It has a kana → english option for words written in kanji, so you can test your recognition skills given just the kana.
Of course, if you have the skills / determination, you could just make do with Anki. It’d take a little getting used to, but functionally it’s the same as Kitsun, and would give you whatever you need.
Hope you find what you were looking for!