My husband, son and I will be spending three nights right by Mt.Huashan.

They love to hike and aren't afraid of heights. I, however, am a lily-livered freak, but I still want to take the cable car up and see cool stuff.
What would be the best way for us all to go up the mountain then meet up later after they do the scary bits?
PS I don't mind sitting and reading a book or something for a few hours if necessary.
Also, would it be best if we stayed at a hotel on the mountain?
Thanks!