Or put a heat and radiation resistant usb-drive in a capsule (complete with small parachute) loaded on a sling shot directed at Earth. Would certainly take a long time but would be fun.

Seriously though: what about launching a rocket in the direction of the outer solar system that launches mini relay satellites that act as a mesh network? Put a few bigger ones in the asteroid belt and the rest in various Lagrange points around Mars, Jupiter, Saturn etc.