How do I batch print multiple files in a specified order?

My version:  Acrobat Pro DC

Combining the files into one PDF is rarely an option because sometimes there are hundreds of files that are quite large. Is this the only way?

These files must be in order because they are exhibits for a trial, to be loaded into binders with tabs.

The printer I'm using is the Canon 8285 imagerunner Advance.

I need to trust that it prints the documents in sequential order, regardless of what they're titled.

Is there a setting or an app that I need to accomplish this?

Thanks,

JoGrrrl