Or... you can instead use a service with actual end-to-end encryption like Jitsi.
Insertable streams are coming, along with e2ee through media routers. The Jitsi folks are doing great experiments there, and I'm happy they have taken the lead.
This is actually a good thing.
> at the cost of recording
You can use an external application. Inconvenient? Sure, but worth it for e2ee.
Bonus: Unlike your application Jitsi is foss and does not require a centralized account.
Insertable streams are new, and less proven.
An honest question, do you visit sites served by Cloudflare? Is point-to-point encryption okay for your use cases there, or do you have security concerns that require e2ee for your communications?
I would actually be fine even with raw http for said sites.