A document of what I see so far to be the quickest way through the game on NG. When I can get back to it later tomorrow, I'll focus on getting day 3 sorted out.

NOTE: These routes run under the assumption that cars are nice, perfect nights (with the +5kg carry bonus) are important, and as many companions as possible should be saved. Link: https://docs.google.com/document/d/1u4L8C0UWI0EdJ6RvRVcR2gCIQw5DmbhDtcnRKRi3rpc/edit?usp=sharing

A YouTube video based off the first two days, Cloud + Heat variation: