What you are proposing is a modified version of universalism (a sort of universalism before age 7), a philosophy that has been condemned by the church right from the beginning until today.
If tender feelings for babies makes you need to speculate I would suggest you confine your speculation to modes that don't contradict scripture. For example, we know from scripture that the degree of punishment in Hell is not the same for all the damned, that some are punished more than others. If that's the case, is it possible that unbaptized babies suffer the mildest amount possible for someone denied the opportunity to be with God forever and even a degree of happiness and grace? The Bible doesn't say one way or another, it only says there will be varying degrees of punishment, so as a matter of speculation it does not go directly against scripture. If you say that unbaptized babies go to heaven it seems to me (and to most of Christendom before the last century or so) you are going against scripture.
So most of Christendom (before the last century or so) taught kindergarten hell with stuffed animals for unbaptized babies who died in infancy. Good thing we have tradition to guide us through the treacherous waters of sheer conjecture.