Well then let's make them store the entire internet. It's about time that we encrypted everything. Flood the communication channels with encrypted chatter and let's see how long they can keep storing it all. If you really want to fuck with them intersperse your encrypted data with random bits from /dev/random. Even better, just steam random bits non-stop and every so often intersperse it with just a tiny bit of your real data.
The NSA knows how fucked they'd really be if everyone used end to end encryption. You can smell their fear.