The exactly opposite idea of adjusting QM to directly work in geometry of strongly curved space-time is not pursued much. You can do QM on curved backgrounds,

The exactly opposite idea of adjusting QM to directly work in geometry of strongly curved space-time is not pursued much. You can do QM on curved backgrounds, see eg https://ncatlab.org/nlab/show/AQFT+on+curved+spacetimes https://ncatlab.org/nlab/show/AQFT+on+curved+spacetimes That's not a theory of quantum gravity, though.