So, you might be misunderstanding how BTRFS snapshots work.
A BTRFS snapshot is not a complete copy of the system, but rather, merely a recording point, and only CHANGES between the current system and the snapshotted system actually take up space. Like, if you snapshot a system, and then install 1 GB of updates, that snapshot only takes up that 1GB of differences in the system.
It's exactly because of this, that it's somewhat difficult to shuffle BTRFS snapshots around.
So, you can use BTRFS send/receive to send subvolumes to other btrfs devices.
So, snapshots are really just a subvolume that only takes up the difference between your main subvolume that you use, and the snapshot subvolume. You can use btrfs send/receive to send them them to another btrfs partition... but I don't know if sending subsequent backups will deduplicate data properly.
What you might want instead, are rsync backups. Timeshift also supports rsync backups, which copy all the data over to any device using rsync for the initial backup, but then use hardlinks to store only the changes between the backups for subsequent backups. Similar to btrfs โ but simpler, is my understanding.