If anyone ends up on this thread, I faced the same issue as I wanted to use several chaining sounds for one of my apps. So I made a quick free app with about the same purpose as the original poster wanted:

https://apps.apple.com/ch/app/phone-system-sound-browser/id6739591068?l=en-GB

iPhone sounds are somewhat messily organized, but at least with this app you can quickly search for a specific sound and try out how handpicked sounds work together when chained.