Move logs to a Samba share?

Use ZRAM. It keeps active logs in RAM to mitigate SD wearout and rotates them to SD only once (or anywhere you tell it to), see last parameter in /etc/ztab.
You can mount some long term storage dir off a NAS but as @Bruce_Osborne currectly notes don’t move /var/log there, it creates dependencies you don’t want to have.