Mount Rushmore and altitude

I was considering taking a roadtrip and visiting Mount Rushmore. If I do it, I%26#39;ll be doing it in mid-November with a 4 month old baby. What kind of diving conditions can I expect from Rapid City to Mount Rushmore? Will it be snowy/icy in mid-November? Is the drive very steep? Also, what%26#39;s the altitude of the visitors centre at mount Rushmore? Several sites quote the altitude of Mount Rushmore to being around 5700ft. But I want toknow what the base or viewing area%26#39;s altitude is. I just want to make sure that I am not putting my baby at risk for altitude sickness.

Thanks.