Not sure about the Whitehouse, but probably..if you used at tripod. Doen not make sense to me you can handhold a camera, in plain site or hidden and photograph just about anything...pull out a tripod and boom...no one wants you to take a picture then.

About the Indian Lands..some do allow photography, others do not, always best to check with the locals...Monument Valley...pretty sure you can photograph, just can't get off the road (in other words you need a guide - check out Mark's artilce in the Artilces section, it's pretty good)