The number 11 tram stops outside the Aesch and Reinach campuses of the ISB, in the southern direction the tram teminates at Aesch. Going by your childrens ages, you will have one child at each campus.

If you want EASY public transport in reach of the schools and Basel centre, I suggest Aesch, Reinach or Munchenstein (basically something close to the number 11 tram). On the outskirts of these villages there are houses/apartments with gardens although I have no idea on the availability.

Duggingen in the south is accessible by rail but then you would need to catch the train to Aesch (1 stop), walk (about 5 minutes) to the tram terminus in Aesch and two tram stops to the Aesch campus (Arlesheimer Strasse, at the school). Then further to the Reinach campus.

There is a bus service to Pfeffingen, it is a nice area up on the hill and within walking
distance of Aesch.

Hochwald, Gempen, not sure about the public transport, I have seen buses to Gempen from Dornach rail station but it would not be easy. Laufen, once again is accessible by rail but it is about 15minutes by car from Aesch.

Hope this helps. I live in Aesch and also have children at both ISB campuses.

As far as kids commute goes, they vary, some kids come in from France and Germany, commutes can be a bit tricky if you have to line up a tram and then a bus, I know a girl who takes about 45mins to get to school if all the connections are right and she lives about 10kms away in a straight line.

PM me if you have any more questions.

Cheers
Larissa