How big is the site? I have rented a dedicated server with 100MBit unmetered and 1TB storage, 16GB ram and 2 xeon cpu's for under €100 a month; maybe it's better to look at such an option instead.
Its source is the English language, so if there's a word or phrase that gets used, it has a result. Corpus linguistics is fun like that.
The cost effectiveness really depends on whether your data would fit into that 1TB or it'd require much more.
Saying "I have infinite data" is not an excuse for not looking for alternatives.