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Hope you already got this solved. If not, maybe this post will help you out: http://searchengineland.com/find-queries-per-url-using-search-analytics-report-google-search-console-gsc-231198

If I were in your situation, I would probably do exactly as you say you're going to do.

EDIT: maybe using Google Analytics or Google Tag Manager to verify the account would let you take off the part of reaching out to the IT guys, but if they work fast enough it's the same.