There is currently no way that I know of that you can relate product level information to the search query statistics. You may, however, try generating the
Ad Performance Report and try filtering using the
PRODUCT_AD as value of the
AdType field. Then using the
Id field of the Ad Performance Report, you may then match it with the
CreativeId field of the
Search Query Performance Report. The results that will be returned by this will be the search terms that triggered the product ad.
Let me know if this helps.
Peter Laurence N. Oliquino