Synology NAS devices support creating and exposing iSCSI LUNs, allowing you to map a local drive or mount a folder to the storage on the device. I have a little 4x2.5"one I bought many years ago I still use for clusters and databases in my home lab.
[On the Synology device]
Log in to DSM on the device and open 'iSCSI manager' from the menu (click the button on the top left).
Create a new Target and a LUN large enough for your database files.
[On your laptop]
Hit Start, type 'iscsi', and open the iSCSI Initiator app.
If you get a message box reading 'The iSCSI Initiator service is not running..', choose 'Yes' and continue. When the iSCSI Initiator app starts, enter the IP address of the Synology device in the Target box and choose Quick Connect. Select the LUN you created and click 'Connect'.
Open Disk Manager (Either [WindowsKey] + [x] then [k], or hit Start, type 'disk manag', and select 'Create and format hard disk partitions'). You can initialize and format the LUN you mounted as a hard drive there.