This is just crazy. According to the article, this "big data" fits in 27 DVDs, which is roughly 1-2 TB of data. Do you really need Big Query or whatever for this?
According to Wikipedia, DVDs of the largest capacity can hold 17.08 GB of data, but those are rare. If the article is correct about these details, the data could be ~460 GB at most, but is likely less than half of that if the DVDs in question were of normal capacity.
Store the data locally? Easily. Set up the necessary back-end infrastructure to sift, twist, and churn the data efficiently? Now you're talking hiring some people to set up an infrastructure for that... Or you could upload it to Google and use their infrastructure.