If you don't mind having a "personalized" desk, arms that are meant to / able to go through the grommet often just have two (large) bolts. You could pretty easily drill through the middle of a desk and mount it at any distance.

I have the dual version of this, which they don't seem to sell any more: https://www.upliftdesk.com/crestview-single-monitor-arm-by-u... but if you look at the "all components" image, you can see the steel plates and bolts that I use to attach mine - the bolts aren't part of the bent black thing, they work with that or either of the shiny steel plates. Those both fit within a grommet hole (the large circular holes in desks) with bit of free movement to adjust it, and the bottom of the "stand" is completely flat so it could very easily go anywhere - you put the plate under the desk, stick the bolts through it + through the desk hole, and they go into threaded holes on the underside of the stand.

Some monitor arms are only meant to clamp onto the edge of a desk, and you won't be able to do this - I'd probably avoid those in this case tbh.

(I've probably failed to adequately describe it - I can take pictures or draw something out if you'd like. It's not complicated, it's just... there are not many similar things that I can point to as a comparison that most people have at hand)

I have an uplift arm and while I'm not at my desk right now, it's height adjustable and I can get it pretty close to my face (without sacrificing the height adjustment) - I have both the range and the crestview (Upgraded when I got a bigger monitor).