What are ways that I could effectively integrate tech into my class when my school avoids using screens and tech as much as possible?

I work as a Pre-K teacher at a school that has little to no use of screens. It is only oce every few weeks that I maybe show a video to my class to support learning but even then it's only if one of the other Pre-K teachers are using the same video. I want to find a way to use tech more with my students in a meaninful way that supports their learning while still limit screen usage.

*Note: I am taking a Master's curse on inteructional technology and am really struggling with way to engage meanifully with the class while still holding to my work's "no screens" rule.