Is this the speaker you have? Please don't tell me you bought it for $199? It looks like a direct copy of the Anker Soundcore 2 which is only $39
This is either my first Reddit post or my first in a very long time, so I hope I'm doing it right.
I use a white noise app on my phone called "white noise generator" (though I'm sure there are others). I'll eventually zero-in on the nuances of an actual fan, especially on what I call my "hot days", during which my misophonia is especially bad. The ticking, the cold sound of the machinery, even the very slight pattern of the whir will eventually stand out and drive me up the wall. So a synthetic, digital approximation seems to be my fix. With the app, you can turn on brown or white noise, add wind and other sounds in layers, and then control the specific volume for each sound, mixing your own, custom white noise. It also has a sleep timer, which works dependably.
For the same price of a decent fan, you can buy a bluetooth speaker on Amazon. I use this handsome jasper. It works much better, in my opinion, than traditional white noise machines, but here's a trick: face it to the wall, ideally at something to further dampen the noise, such as a square of corkboard (which is what I use), and on the other side of the room (but conveniently controlled by your within-reach phone). This will "widen" the sound and give you more of the spherical, room-filling noise you need. I totally understand what you mean about filling the room, and for me, this worked quite well.
Good luck.
I have this one and like it
https://www.amazon.com/gp/product/B01MTB55WH/ref=ppx\_yo\_dt\_b\_search\_asin\_title?ie=UTF8&psc=1