Is this even possible, or do I need to get a whole new ballast?
It's not possible, unless you have a step up transformer.
I would recommend checking out the 1000bulbs.com HPS ballasts. They are very cheap:
https://www.1000bulbs.com/category/high-pressure-sodium-ballasts/
Well a bit of good news, I got the OVZ today, and turns out it is a Multi-Tap ballast, so I simply snipped the connection to the 277V wire, and re-wired it for 120V, and it is now ready for use. It lacks a photoelectric control, so all I gotta do is connect it to my switch, and on/off. I'm pretty happy to have a new OVZ. The OVX is on the way.