Do you have your own horse or will you need to use a school horse? Do you both want to attend the same day? same teacher? How old is your child? How much experience do you currently have and what are you looking to do with your skills (eg: do you want to show, if so at what level?).
I think it is worth phoning a few to get an idea of pricing. McNair and Southern Oak Equestrian Center (SOEC) come to mind and I thought their rates were online. SOEC is definitely on line and is a link off of this page:
Southern Oak Equestrian Center - Lesson Program
Note: these two stables are on opposite ends of Raleigh (South and North) so it also might depend on where you live.
Where are you living/looking in Raleigh? Raleigh is 30-40 minutes end to end so it is a vast area which may make this question a bit hard to answer. If you are North or West, you might consider looking at riding in North Durham or Hillsborough as well. If you are in South Raleigh, then you might consider Garner as well as Raleigh. So not sure if you want to expand your reach outside of Raleigh itself.