Requesting E-Signatures on Multiple Documents

Hello Using Acrobat Pro with “Acrobat Sign”

I have a stack of documents to be signed by multiple parties and am running into an issue with how to collect those signatures in an efficient manner for the signers, while being able to maintain the documents as individual documents after signing.

If I use the standard "Request e-Signatures" I can have multiple people sign as wanted, but if I upload multiple documents through the web they are combined into a single PDF, which means that I cannot separate the documents after they've been signed, as the file is locked on signing, they just exist a single PDF, which doesn't work for filing purposes (e.g. I need to file the separate documents separately, not all in the same place).

I tried using Bulk Send for signatures, where I can send multiple documents, but I cannot assign signatures, and it wants each signer to sign all signature boxes, which does not work. It's obviously meant for collecting signatures on a standardized form from multiple people.

Is there something in Bulk Send (or another format to accomplish this) similar to an envelope in Docusign?

Thanks in Advance.