Hi, from phase 2, I think Blue ridge is nearest.
There are 3 more schools which are not in your list mentioned-
Dhruv global school- it is near symbiosis lavale road, but has an entry from phase III
Then i saw hoarding of Mount litera zee school which I guess is in Hinjewadi phase II or IIi.
Also GIIS balewadi has connectivity from balewadi stadium side and from phase III.