I've been chatting with @jricher, one of the authors of RFC 9421 HTTP Message Signatures1, at the OAuth Security Workshop (#osw10) in Iceland and at IETF 121 Dublin about the forming of TC55 and its fetch() related workstream.
Setting up application-level signatures has never been easy but with RFC 9421 being published last year there's finally a solid framework to be able to make it so. I believe an integration of HTTP Message Signatures and Web Crypto APIs CryptoKey would be a worthwhile and Web API-native solution.
Justin and I are both willing to collaborate on bringing HTTP Message Signatures support to server-side fetch() and Request/Response APIs (the former in hopes of it even standing a chance of ever appearing in browserland).