I understand that it may not be legally accepted in your country which i think virtually all countries have not openly declared support for the use of cryptocurrency, but that is not to say they will not attend to any case that has to do with fraudulent acts, pour countries are not as useless and wicked as that, so since they said you should report to a local authority, I think that you should do that so that they can hasten up the process, but make sure that such local authority if one that would even understand what cryptocurrency is all about, except that you want to take time to fully explain it to them to understand.
Every exchange has their policy, and you cannot compare some of those highly reputable standard exchanges to hitbtc, they will not help you in anyway except you do exactly what they ask of you if you want your money recovered.