Just to clarify, are you saying that you want to look for recently deleted backup files?

Edit:

Oh, I think I see what you mean, you're looking for a script that will use recently dropped databases as a reference, and then scan the network to look for backup files for that now deleted database.

Is that right?

If so, it's kind of dangerous. However, as long as the database name or some single reference is in the backup file, it can be done. The problem is, it's probably going to take a really long time to complete.