This is a bit confusing to me. I know you don’t want the label, but virtually everyone else would put you solidly in the theistic evolution or evolutionary creation camp (and the vast majority of people are not going to distinguish between those two terms). Both terms (theistic evolution and evolutionary creation) existed before and outside of BioLogos so even if you disagree with them (and even that seems minor) I’m not sure that you’re outside of what people would consider TE/EC.
Webster definition of Theism:
belief in the existence of a god or gods
specifically: belief in the existence of one God viewed as the creative source of the human race and the world who transcends yet is immanent in the world
I seems like you would be a theist, more than a theist for sure, but at least a theist.
I’m also not sure how you can talk as much as you do about neutral theory, common descent, etc. and say that the “evolutionary” or “evolutionist” isn’t a proper descriptor. Again, maybe it’s too narrow, but I don’t see how it’s actually wrong.