Instrumental metal is what you’d search to get where you want to be. There’s plenty of bands that don’t have vocals at all, and even more that do instrumental tracks here and there.
Thing is, you’ll run into a pretty broad range of styles under that heading since a lot of sub genres are defined by vocals and/or lyrical content. But instrumental is a sub genre of its own. It just gets defined by the lack of vocals rather than any distinct sound like the way thrash is going to have that “thrashy” vibe.
Edit: Animals as Leaders is pretty much the go to recommendation for instrumental metal. They run closer to prog than death, but so do most instrument only bands.
Dude, I am happy as hell for you that it took this long to experience one.