>you can almost always delegate that kind of interface up one layer in your application stack and pass AES-SIV chunks of messages.

Without additional precautions this approach is vulnerable to a fairly basic chunk-reordering attack, since any re-ordering of the "chunks" is a valid ciphertext. I strongly recommend against this approach.

EDIT: Unfortunately there is not really a better way to implement a streaming interface on top of a nonce-misuse-resistant encryption scheme: it's fairly easy to prove that any nonce-misuse-resistant construction must necessarily be "offline" in the sense tptacek describes.