That is wishful thinking  on your part, what God would or wouldn't do. I don't know what he would do in the situation of an unbaptised child dying, nor does the Church.  Theologians have speculated that's all.
However, if you are so convinced that you are right in your belief you ought to be able to back it up with some evidence from Scripture, Tradition, the Fathers, popes, Councils, Doctors of the Church etc. 
It is commonly taught that Baptism of Desire can only occur after someone has reached the age of the use of reason and that is why the Church urges parents to have their children Baptised as soon as possible.