The women said they entered the contest to try to show Georgians more about their region, which in recent years has been stereotyped as a hotbed of Islamist radicalism.
The assault highlighted the precarious position of Armenia's LGBT activists, who supported the recent uprising but did so quietly so as to not offend the socially conservative majority.
The controversy pits the grassroots activists who brought a reformist government to power against foreign investors who promise the economic growth Armenia needs.