I don't see how to do this and avoid the problems you describe that come from doctrines and conceptualizations.
This reminds me of the scientific communities exploration of the quantum world and sub-atomic particles. At first, they developed atom smashers, and they took pictures of the results. They had absolutely no guiding principles for interpreting what they saw. The just smashed atoms and took pictures of the debris, just as you are describing the process of looking directly at experience without any doctrines.
Scientists, being humans who wanted to explain things, came up with their own concepts, doctrines, and metaphysical explanations for what they saw. The ballooned into the modern theory of quantum mechanics, the Copenhagen interpretation of it, and the philosophical problems it creates, which are still open and unresolved.
My point with all of this, is that even if you start at the level you describe with direct experience and no conceptualizations, you can't stay there. You will end up conceptualizing your experience leading you to the same place mystics have been exploring for thousands of years.
As you noted, mainstream religious doctrines can open up avenues of intellectual exploration. That's how I've been using Tibetan Buddhism and modern neuroscience. They provide some context for what I've experienced.
In my opinion, the problems with doctrines is that people get caught up in philosophical arguments without any direct experience to back up anything they are saying. They are all concept and no basis. That is completely pointless, meaningless drivel. This is particularly pronounced with religious fundamentalists.