Reddit mentions of The Handbook of Japanese Adjectives and Adverbs

As for nouns, there is no grammar. So you can check that off your list already. They don't conjugate or take plurals. They modify and are modified but that already falls under the category of adjectives. Negation is expressed as a prefix like 不 or 非 or more commonly as one of the negative conjugations, usually involving ない somewhere. And since い adjectives conjugate like verbs and な adjectives conjugate like copulatives (verbs), you're going to be spending most of your attention on verb conjugations. Picking the right particle is usually obvious but often tricky. But that is governed by the verb, not the noun. So back to verbs.

I used Genki and Tae Kim but recently, I've found Taeko Kamiya's books on Verbs and Adjectives and Adverbs to be really helpful. Maybe because I'm more advanced or maybe because they're just better. After a while, Genki's whole "everything all the time" approach is really confusing. Also, the inclusion of "class activities" is really annoying for self-learners.

Kamiya's exhaustive presentation of verbs and adjectives cleared away loads of junk that had accumulated in my mind from trying to understand the same thing from Genki or the bits and pieces I had picked up elsewhere. I remember when I first read through her chapter explaining the way the all the verbs conjugate, I was like "Oh! It's actually really straightforward and consistent." I still haven't really drilled all of the content of those books but I plan to turn them into Anki decks and get on it. There's canonical kanji-kana text alongside romaji for everything which is less optimal than kanji-kana next to hiragana or just plain old furigana. That does detract somewhat from the books but the clarity of presentation definitely makes up for it.

Since Kamiya's books aren't "complete guides" you may want to look through Genki and Tae Kim to get a sense of sentence structure in general but for the real meat of the grammar, which is conjugations (themselves expressed as suffixes on verb stems) I would recommend using Kamiya. It's just much clearer, much more orderly and more or less exhaustive. It's not free but $20 per book is not too bad. I'd start with verbs because they are more basic and more important. Because verbs and adjectives are grammatically identical in many cases, the two books have a fair amount of overlap. But I prefer that to a more "correct" presentation that requires me to execute extra linguistic transformations in my head.