Are there any best practices around distributing an encrypted package to multiple end user systems, specially if the end system are offline ones, in context of asymetric cryptography?

Is it a must to create unique public/private key sets [ per end user system] and encrypt the same package many times uniquely with the public keys, resulting in a specific package per end user system? How will this scale?

Will it be a good practice to sign the original private key [ corresponding to public keys used to encrypt the package] with senders private keys and then encrypt using end user systems public keys and share it directly with end users, through trusted communication?

Or encrypt the private key with end user systems public key, sign with senders private key and re-encrypt[symmetric] this with the hash of certain string uniquely identifying a end user system? This hash should be programtically reproducible using system unique identifiers later during decryption processes. This way, to retrieve the original private key to decrypt the package, it will require both a corresponding public key[end user clients] as well as end user machine [the hash of string to be generated at runtime on end user system.] and senders public key to manage the authenticity?