I would like to marry ECIES to a scheme based on PBKFD2. Effectively, I want the Key Encapsulation Mechanism to use Diffie-Hellman, but rather than encrypting the seed material with the recipient's public key, I want to use a KDF to mask what remains.
"What remains" has a lot of hand waiving, but I think the natural way to approach it is to embed a temporary EC private key and encrypt it using the KDF function. Then, the software would decrypt the EC private key and proceed as normal in ECIES.
Is anyone aware of such a scheme? (I prefer something that's been standardized).