School Districts serving Places or areas

So we have areaServed <https://schema.org/areaServed> on Organization.
Great !

But can we reliably say that

Tampa, Florida*  is served by  *School District of Hillsborough County
Florida  ?

Depends.  Is School District of Hillsborough County Florida an
EducationalOrganization in reality ?  That is debatable, they don't educate
directly themselves, but provide admin duties for
EducationalOrganizations.  But then again, you can definitely say that any
School District is in the business sector of "Education". So then, does
that qualify any School District as an EducationalOrganization ?

Question is:  Do we want to say something about School Districts a bit more
(a new Type?) and to help with examples of showing the areas they serve ?
or areas that are served by them ?

Another approach besides areaServed, is through our Containment properties.

School District "contains" Place.
A Place "contains" another Place.

School District of Hillsborough County Florida *"contains <Place>"* Tample
Florida

What would be the best approach universally and globally, we would
recommend at this point in time with current release ?

I have my own opinions about above, but are throwing them away to hear from
others.

Existing Example to work with above:

{
 "@context": "http://schema.org",
 "@type": "ItemList",
 "itemListElement" : [
 {
 "@type": "ListItem",
 "position": 1,
 "url" : "http://www2.sdhc.k12.fl.us/LYNX/HiTecIFrameKDP.asp?CourseID=208&ProgramID=10",
 "item":
{
 "@type": "Course",
 "name": "H170690 NURSING ASSISTANT (CNA)",
"courseCode" : "H170690",
"image" : "http://www2.sdhc.k12.fl.us/assets/img/logo_lamp.png",
"grantsCredential" : "Certified Nursing Assistant (CNA)",
"previewUrl" :
"http://www2.sdhc.k12.fl.us/LYNX/HiTecIFrameKDP.asp?CourseID=208&ProgramID=10",
 "description": "This program prepares students for employment in a
variety of health care settings including doctor’s offices, walk-in
clinics, outpatient facilities, hospitals, and urgent care centers.
The content includes, but is not limited to, interpersonal skills,
medical terminology, legal and ethical responsibilities, safe and
efficient work, gerontology, nutrition, pet-facilitated therapy,
health and safety including Cardio-pulmonary Resuscitation (CPR) –
heart saver level, and employability skills.",
 "provider": {
   "@type": "Organization",
   "name": "School District of Hillsborough County Florida - Technical
Programs",
   "sameAs": "http://www.sdhc.k12.fl.us/doc/list/hillsborough-technical-colleges/program-areas/103-823/"
 }
}
}