An update:
It's been about a week since installing the new SSD and I've had no problems up until last night when Windows updated automatically, which broke the configuration of some drivers (including display driver) and made the laptop crash this morning with another DPC_WATCHDOG_VIOLATION BSOD. I checked for driver updates right after logging back into Windows and since reinstalling the drivers it has been smooth sailing.
So a little warning to keep in mind: check the drivers every time a Windows update requires a restart.