> but we can't do that with the Sun.
Can't we really? AFAIUI it's mostly charged particles coming in relatively slow, or rather us/Earth entering their path, like walking into a lawn sprinkler.
Not Gamma-, or X-Rays hitting us directly at the speed of light in direct line of sight.
Now imagine a cluster of satellites which puts them in orbit between us, and the Sun, or rather enough of them in front of Earths surface at dawn. Because that side is 'forward' on Earths track around the Sun.
These sats could be mostly dormant, to be set in rotation, unspooling really long thin wires, electrically charged by whichever means. Like a giant electromagnetic umbrella. Slowing the stuff down, or diverting it outright.
I think that would be valuable, even if they would have to be discarded after 'one time use'.