It's been gone over, adnaseum, and substitution is the biblicist view, which you reject, even though it's all throughout the Bible.Everyone claims to be a biblicist? Not really. You are not a biblicist. Your definition of "propitiation" proves that as it's an interpretation exceeding the definition of the word.
You did not ask about traditional Christianity. You asked what Christian traditions I was steeped in.
What I mean by "traditional Christianity" is the general view of Christians in the first centuries after the Resurrection.
Many things people believe don't fit into that category. The scope of the Atonement was not considered, for example, until Beza (after Calvin). The placement of salvation under the category of divine sovereignty was post Calvin. The Penal Substitution Theory of Atonement was not articulated until the 16th Century. Covenant Theology and Dispensationalism was not developed until late in Christian history. Catholic Theology did not begin until the late 4th Century and was not substantially formed until the 5th Century.
By traditional Christianiy, in the context of the Atonement, I am speaking of the "Classic View" which has Christ submitting Himself to suffer and die under the powers of darkness.
This was the Atonement motif until the late 11th Century - even in the Catholic Church. Anselm developed a view (Satisfaction Theory) which replaced the traditional view within Catholicism. In the mid-13th Century Aquinas revised the theory to Substitution and, of course, it was reformed to Penal Substitution Theory in the 16th Century.
But to answer your question, I am speaking of the "Classic View" - the Father was pleased to crush him, to give His own Son, Christ was made sin for us, Christ became a curse for us, Christ became like us in all points, Christ was obedient even to death in a cross, Christ submitted Himself to suffer and die under the powers of darkness authored by Satan as a direct result of human sin for us, and it is by His stripes we are healed, freed from the bondage of sin and death. This was Christ's solidarity with man so that we could share solidarity with Him.
That is what I mean by "traditional Christianity".
You have come up with your view from somewhere outside of the Bible. Someone in some book or sermon taught you the theory you hold and you have worked hard to reword and redefine your understanding of the Bible to accommodate what you were taught. You can keep it. It's not what God teaches in the Bible so it's not for me.