Weird ass thrash track that might just fit the bill: Demoniac - Extraviado
Metal
Metal community, all subgenres welcome.
It only seemed fitting to have Lemmy himself as the icon.
Other Communities:
This is strictly jazz metal, but they have some sax:
The mood is pretty amazing. I’d recommend finding some streaming with better quality though.
Ihsahn has some sax on his solo albums (e.g. After) but not on every tracks
Same for Rivers Of Nihil, as already suggested, on their latest albums
More balkan inspired than jazz, Trollfest has some sax too
Also for some jazz metal with Zorn-esque sax, I'd suggest Trioscapes :
https://trioscapes.bandcamp.com/album/digital-dream-sequence
These are mostly jazz-metal:
Fugu Quintet's ‘Sisyphus’ — doom-jazz
Mr. Bungle — funk/alt metal
Le Scrawl — jazzcore / skagrind, they have a bunch of live videos on YouTube and iirc a few short albums on Bandcamp
Zu: e.g. ‘Carboniferous’ — prog/noise-rock, with plenty of sax
Fredrik Thordendal's Special Defects' ‘Sol Niger Within’ seems to have a sax on ‘Cosmic Vagina Dentata Organ’, ‘Z2-Reticuli’, and ‘Solarization’. Though another release has these credits for sax shifted one track back, for some reason.
Ruins the prog-noise-rock band apparently had a saxophonist on ‘Ruins + 梅津和時’ (with Kazutoki Umezu), and also played with Zorn on some releases, but idk which ones.
Shining (the Norwegian one) — might be the closest to what you want
The Flying Luttenbachers use saxes among other stuff
Mamaleek had a sax on ‘Come and See’ (album release here), but it's not heard much
If you like a bit of humour in your grindcore, I'd recommend Excrementory Grindfuckers.
They're pretty fun live.
Sear bliss is a pretty awesome black metal band that incorporates trumpets.
Now that I think about it I think avant garde bands might be worth a shot as well. Try Sigh(Japan), igorrr, thy catafalque or imperial triumphant. (Wildly different from album to album so try multiple ones even if one doesn't sound like what you're looking for)
Always down to recommend some Moon Hooch.
More on the core side, check out Shrezzers. Their song Libertad might fit.