An ideal solution to me needs to solve these problems. Since there is already a large body of research trying to address this on the static side and failing, I believe it needs to be solved with runtime checks. The specifics of which I'm still exploring but its worth mentioning these would only be necessary to tighten existing lifetimes so one can envision annotations or compiler options to elide these if desired. Lifetime inference in MLKit (and I believe ante as well) tends to speed things up by turning more dynamic allocations into stack allocations, so there is some room there for runtime checks without making the result more expensive than the version with dynamic allocation I believe.
Seriously, this looks promising and I'm very interested to see where it goes.
These days I program in Rust and find Rust's approach to explicit regions to be a workable compromise, though reference-heavy types can get pretty ugly and hard to work with (and I'm pretty sure that variance of lifetimes is confusing to everybody who isn't a PLT theorist and some who are).
The approach I personally find most interesting is the Lobster language. There (and I'm probably oversimplifying) the semantics are reference counting, but you so analysis to remove a huge fraction of RC operations. I believe the Perceus work is similar.
I'm happy to chat anytime. Recent work has been using somewhat exotic types provided by Rust (associated types, existentials, lots of inference through product types) to represent UI. So far I've basically been using what Rust gives me, but it's interesting to imagine what changes to the language/type system might buy you. For example, there are a few places in the code where there are downcasts, but I suspect that with a sufficiently strong type system you could prove those downcasts are infallible.