Places can be very hard to come by.
Oh, and this is the height of the application season, so I wouldn't waste time.
EVERY school is in the business of maximising resources and obtaining the greatest efficiency - profit or not-for-profit.
Whether they are cantonal requirements pertaining to education, examination board requirements, university requirements to further education, a largely unelected board or shareholders is neither here nor there.
As a view, what you are saying may appear laudable, but to those involved in education, it is somewhat wishful thinking.
How does one determine if a school is well run? With great difficulty.
In order to see if a school is well run, one first has to look at its mission statement. It will exist somewhere. If a school is to gain accreditation by an international body, then it will need to follow this mission statement. However, it is unlikely that a school will let a prospective parent get their hands on this accreditation report as it can be misconstrued by a non-specialist.
The next thing is to look at the exam results. Are they what they should be? Unfortunately, as an outsider, it is very difficult to see the "value added" so one cannot tell if the results are par for the students, or above what they should be (or under). I suppose looking at the averages can help, but they are simple enough to skew by entering weak students as external candidates. That way, they do not count towards a school's official figures.
When visiting the school, look at the class sizes, the behaviour of the children, the atmosphere of the place. You can tell a lot about how your kids will feel in a school by the general atmosphere.
However, a bad atmosphere does not mean that the school is run badly - it may be that the staff are under pressure to obtain excellent exam results - and a good atmosphere can also mean that the staff are coasting and kids are underachieving. Or vice versa.
Also bear in mind that IB accreditation does not make any comment on how well a school is run. It merely shows that the school is following the IB guidelines to run the courses adequately. It does not make any comment on the quality of teaching that goes on or the pastoral care.