There are a few things being missed here, the OP is 5'4" and 120lb. Demoing a lot of skis that are being mentioned and considered will note be offered in a small enough length, most of the "men's" sizes might start in the upper 160's and most will be in the 170-180 range. Next, finding all of the options at a consumer demo day will be near impossible to get on everyone, on the same day, in the same conditions and let alone with a constant tune. Which brings us back to the point, when you are demoing a ski, you are demoing three things, the snow, the tune and lastly the ski.
To the reply to
@Wendy, yes it was rude and the OP acknowledged it. Wendy was trying to help and to steal and modify a quote "Men learn from their own experience, women learn from other peoples experiences". The OP said he has never skied a ski like this before, so on that note, how will he know what to even look for? He will take out a ski on his list, usually his top choice because that is what he is most excited about. He will ski it, it will feel different but since he said he doesn't even know what he his looking for, he will not know why. Then the next ski and the next ski. All along he is getting the idea what a narrow ski should react like on snow. So, what about that first ski? He now has to go back and ski that again, but the day is done...so the next time can get in the ski, it is a different day, different condtiions and very well a different ski with a different tune. Back to the drawing board.
I made a suggestion for a ski, Wendy validated that suggestion because, well, she has the experience of skiing it and the ability to discern what the OP is asking for and knowing the ski, validated my suggestion. The OP needs also to realized there is no perfect ski, there are a lot of right ones and few that are not so right, ESPECIALLY when you get into the short bookend size of a 160 for a male skier. I agree there are many suggestions that have been made that the person was validating their own purchase or experiences, and it it tough to discern those from those who have the OP's needs at heart.