I don't think that is going to be a problem since you have mentioned names that you were interested to work with. I think in most of the cases admission committee send applications to those who might be interested in your project.
For instance, one school I have applied to have more than 3 faculty members I could work with. I only mentioned 3 in my statement of purpose. They contacted me recently and they included another faculty member I did not mention in my SOP. I also had a very crazy semester so I did not contact any POIs as well. So no worries, I think it's gonna be fine. I applied to sociocultural track but I don't think it is gonna be any different for archeology.