I'm not sure I regard theology the way you do.
For me theology comes out of doctrine.
For example, the following doctrines are plainly stated in Scripture, the source of my theology:
Salvation by faith alone,
Justification by faith alone,
Atoning death of Jesus Christ,
Obedience in sanctification,
Resurrection,
Rapture of the church,
Christ's return,
Final judgment,
I see theology as systemitizing these doctrines into a coherent system, presenting a pattern of their relationships, causes, effects, etc.
Do you see it the same way?