Tasks and channels is the way. You can get something that feels like programming a real preemptive concurrency model like BEAM languages or golang but with minimal overhead.
In principle, they could have used something like copy-on-write for this, but in practice they really just make a copy of the bytes.
Alas in Go, when you mutate what you received on a channel, you mutate the object the sender might still be holding. That's pretty annoying. It gets worse, because Golang has no way to declare something as `const` (like in C) nor that you are holding an immutable borrow (like in Rust). So you need to rely on conventions and perhaps a linter.
Slighty less of a tangent: task and channels and software transactional memory (STM) are all great. I see mutexes as more of an implementation detail that you can use to implement these higher level abstractions (but they aren't the only way).
I hadn't even considered the implications of sending a reference over a channel, but I'll add that to the existing reasons I have to never want to touch Go again.
I say historically, because they got generics a while ago.
Erlang and Go make their concurrency models work because it is embedded into the fabric of the language. Neither cares about zero cost abstractions or minimal runtime (and runtime transparency). Both languages accept that there is a runtime that the developer cannot fully control as part of the deal for their concurrency models.
For Rust to have this, you have to break assumptions Rust developers have about writing Rust code. You would effectively be writing a runtime in Rust and then code that uses this Actor library would essentially run on it. But it wouldn't feel right because it would look like Rust code but feel like something else. That sort of heavy framework stuff doesn't mesh super well with Rust even if the language is capable of it.