Looking for a homepage popup plugin that can include form-7 shortcode

Hi. Just looking for a suggestion after spending days trying to figure this out myself.
Looking for a homepage popup plugin that can include form-7 shortcode.

I seem to only be able to find mail list subscriber popups, but I need the submit button to send an email direct to my client with the filled out form info.

It needs to automatically popup once a new visitor has been on the homepage for a few seconds ideally.

Thank you.