As long as you have access to the emmc/nand you want to get the saves from, and a way to boot into hekate, there are ways to get the saves even without cfw.
But best first create a backup of the nand you want the saves from on the pc, just in case, it should be possible to do this from hekate via usb.
Also make sure you have the console keys for your consoles emmc/nand via lockpick rcm.
With that out of the way, there is a tutorial somewhere here in the forum on how to extract save games from the emmc but I don't have it at hand.
But in short, the saves are on the big partition (user) of the emmc, and as long as you have a way to decrypt the partion (e.g. keys from lockpick+hacdiscmount or what it was called), you can at least create a backup of the saves. But keep in mind, the format is not the same as when dumped via save manager, so you will not be able to directly install them back, without converting them.
Edit:
Should be this guide:
https://gbatemp.net/threads/how-to-extract-savegames-from-nand-dump-for-checkpoint.550343/
Its for a nand/emmc dump, but would only be slightly different when opening the nand/emmc directly