The first thing I want to say here is that you don't want to be the reason that a law is written. The FAA tries very hard to not need to enforce any types of rules on it users. It comes though in all of their failure to drive NTSB suggested changes, and covers how they deal with 'Experimental' aircraft. They let Darwin take its course as long as you are not injuring others or destroying property.
There is a notice in the lower left corner of the print Sectional Map(Detroit). I am aware these are all digital now, but the reference version maintains the legal statute and there is important information there that the online service should be reproducing. This states in part...
Regulations regarding flights over charted National Park Service areas, US Fish
and Wildlife service areas, Bureau of Land Management areas and US Forest Service
"The landing of aircraft is prohibited on the land or waters administrated by the
National Park Service, US Fish and Wildlife Service, Bureau of Land Management and
US Forest Service (hereafter referred to as Agency/Agencies) without authorization
from the respective agency."
There are a few logical exceptions listed, and it continues (emphasis added) ...
"All aircraft are requested to maintain a minimum altitude of 2000 feet above the surface of the following: Game Ranges Wildlife Ranges, Conservation Areas, Wild and Scenic Rivers, Wilderness Areas and Primitive Areas administered by the Agencies."
It makes reference to the Advisory Circular below and talks about it being illegal for the most part to drop people or objects from your aircraft in those areas.
Advisory Circular published in 2004 AC91-36D VISUAL FLIGHT RULES (VFR) FLIGHT NEAR NOISE-SENSITIVE AREAS which says that the FAA gets noise complaints from non-aviation users of the areas defined above. They don't like needing to followup with pilots and suggest in no uncertain terms fly no lower than 2000 feet AGL over a crater rim or highest ground point unless you need to do so to maintain VFR, and maybe consider planning a different route depending on the size and location of the Agency's Facility.
FAA Order JO 7400.2 Appendix 9 specifically talks about Noise abatement over Federally Managed Lands.
You should also check the State you are flying in because I would bet that the State Facilities have similar rules set into their language. From a safety stand point these areas do not offer many safe emergency landing areas. I would suggest overflight planning using internet based imaging. (Most of what Google has is not satellite imagery).
This is an item that doesn't specifically apply, but keeps in the spirit of all of the above:
Frankly this looks like it makes DOA one of the primary reasons I want to get a helicopter pilots certificate, at least for my state. To reach into deep back country areas for hiking and personal photography. I do know that camping isn't allowed in many of those areas near me. I figured being able to fly in and primitive camp in the areas that do, would be a good way to have a low impact. The only time you touch the ground is when you get in.