I would claim that such an abstraction is fundamentally incompatible with Rust.
Not only does Rust lack the means to write a Monad trait on which to build do-notation, but even given HKT there's no single type signature that the various monad instances would fit. `Result` and `Option` are type constructors while `Iterator` and `Future` are generic traits; some instances require `Fn` or `FnMut` while others require `FnOnce`.
And even assuming those problems could be solved, the way do-notation interacts with control flow is not composable with idiomatic Rust. Nested closures prevent the use of return/break/continue and imperative loops; Haskell doesn't have those features so people just lift their functional counterparts into monads. Monad transformer stacks make the situation even worse- they are a pain to compose even with each other, let alone imperative code.
If you want a unifying mechanism for this stuff in Rust it's gonna need to be fundamentally more powerful than monads. Scoped continuations, maybe? Certainly nothing that looks like >>=.