Of all the away stadiums, as far as I know, only Jacksonville has "family only" sections where no one drinks (voluntarily) or cusses (voluntarily).
For obvious reasons, you'll want to skip the cheap seats. When you go to the Superdome, there are usually fights in the Terrace level and always have been. It's part of the game where the derelics, rowdys, poor men and drunks like to congregate. A lot of times the oppositions similar-styled fans will also be in those areas. So if you have a choice at at $35 seat or a $150 seat, you might want to consider paying the extra bucks for your kids' sake. ;)
TPS