Could We Make A Points Category where you write down how many points you get?

This being a speedrunning-related website, that's not really something they have support for.

That would be silly because the max points (2^14 - 1) can be achieved by just abusing the trading system to net gain cash and items and making sure you don't overflow to a negative value. I wrote a guide on this https://gamefaqs.gamespot.com/pc/926358-oregon-trail-deluxe/faqs/78977