Islam asks men to lower their gaze, irrespective of what the woman is wearing, and Islam also asks women to cover herself properly, irrespective of which type of na-mehram (in terms of character) she is going to come across.
As a scholar mentioned that according to a hadith, the peak of Islam after the Prophet (saw) would be the time when a woman would travel alone from one city to another while not wearing "proper" dress, but still not a single man would dare to raise his gaze and stare at her lustfully. This actually happened in the times of Hazrat Umar Farooq (r.a).
First of all, please don't quote any Hadis if you can't provide the exact reference.
and secondly......... ummmm
What's your point ?
:D