Have you tried to use Nostore?

GitHub

GitHub - ursuscamp/nostore: A nostr signing extension for Safari.

A nostr signing extension for Safari. Contribute to ursuscamp/nostore development by creating an account on GitHub.

I’ve been using it for months and it’s been decent. Definitely not “Alby on desktop” easy but having done a lot of dev on mobile, it’s a hard problem. Especially on iOS, Apple locked down what browsers can do pretty tightly.