Ansible

As an alternative to what @mea_rah proposed, you can also push your files in a git repository that you can clone/pull on your remote hosts (or locally, then copied / templated out, if needed) from a separate task, which can be in or out (via include_tasks or import_tasks modules) of your roles. Or if all target hosts have access to a shared storage, you can directly copy files from there, depending on your needs.

I still think having your files and deploy task on a separate role used as a dependency for your other roles is the way to go, though I'd need more context to give you a more appropriate answer.