Filter on a List of Texts in a Custom State+RG while Typing

I have a data source that is a list of texts stored in a custom state.

I need to change the contents of an RG as the user types in an input box.

I can use Search&Autocorrect to do what I need when the data source is a data table but in this case, my data source needs to be temporary (not in a data table) and Search&AutoCorrect apparently will not search a list of texts from a custom state.

Can anyone think of another way to make this happen?