I need a way to store more information than just the seed words. For each wallet, I figure I might need upwards of 1000 characters. Possibly I'd like to store multiple wallets all at once.
Or i might just have a need to encrypt a text file containing 1000 private keys. That might require 2 pages.
I don't see the point in storing a lot of private keys simply because deterministic key derivation exists. You only store the seed for that KDF and then you can always derive the same exact 1000 private keys in a second whenever you want.
Even if you want multiple different wallets there are still many ways to achieve this. For example BIP32 KDF uses a derivation path that looks like m/x/y/z/... and you can change those values to get a different set of keys. Or BIP39 can add a "passphrase" to derive a different seed from the mnemonic, so same words with a different extra word (ie. the passphrase) can create different wallets.
If you don't like these algorithms you can always use any KDF you like. For example use scrypt with costParam=32,768 and a fixed salt to derive keys from an initial 128 to 256 bit random entropy.