I believe it was last Fall, Mr. McGregor's Daughter mentioned she was needing new fencing for her yard and was gathering ideas.
I mentioned that our local County Conservation Board had been approached by a design artist who wanted to pursue detracting attention from the chain link fence on a pedestrian bridge on one of our trails. This bridge has a very long span over a large creek.
You can see by the photos that Corten steel was added to the bridge and the abutments in shapes that suggest the surrounding trees. Corten steel is very thin and weathers immediately to the rusty color you can see here. Its advantage is that it does not "bleed" onto the surrounding structures (in this case, the bridge).
You can also see that strips of Corten steel were added to the fronts of the top and bottom parallel lateral fence rails as well as in front of the upright posts.
I have not researched the cost of this steel. If it's too costly, a substitute might be found to create a similar statement. I'd begin by suggesting tree branches that would be tied to the base of each post and branched out and secured to various points of the top fencing. Or cut wood. Or... ?
Isn't this quite the enhancement? You hardly noticed the chain link at all!
In fact, spray painting the fencing dark brown or green might make it seem to disappear even more. Just a thought.