Those are called ballistic projectiles, and you cannot place one in a precise orbit. You need upper-stage guidance, admittedly just for the placement of the satellite, but you still need electronics. Though, that being said, I'm now curious how you intend to store large-scale data without any use of electronics.
I'm struggling to think of a suitable "analog format," maybe help me out? Silicon tablets of runes? Analog is unscalable here, no matter how cheap launch systems are.