I've been HOH since early childhood, but since I was raised HOH in the hearing world, instead of in Deaf culture, when I'm with other Deafies, I identify as HOH.
I have had the same experiences as jaylizabethh in that, when in the hearing world, identifying myself as HOH gets me yelled at, over enunciated-to, and (very often) ignored when it comes to my actual needs. For this reason, I identify as Deaf (with speech reading) to hearies. Then, they put the CC on and face you to talk. 