impossible to say without seeing the person, and even then I am wondering whether I would venture a recommendation.
The first question that popped into my mind is whether running is the best form of cardiovascular exercise for a person who over-pronates. But I assume s/he has set her mind on running a 5 K no matter what.
There are some excellent shoe stores (I recommend Foot Solutions to my clients) who have people that know both feet and shoes, and I would suggest that the person go there and try out the various options. Either way, whenever started with new / different shoes, it needs to be started slowly and built up gradually, be it minimalist, completely supported or somewhere in between.