The method for getting out of scientism is obvious. It is to recognise it as a circular argument. Secondly we can safely say that science provides no evidence for scientism.
As I'm not into scientism, I've nothing to add. I am quite happy to accept the methods of science are so far the best way of examining and explaining the natural world because they are the most rigorous and the least susceptible to bias.
Science also cannot tell you that homophobia or misogyny is wrong rather than not useful.
For me, my sense of morality is driven by such traits as empathy and natural feelings of co-operation and responsibility towards others. Culture, environment, experience, upbringing, and a rational approach, for me, superimpose upon those feelings, so that I attempt to give the most constructive outcome which would satisfy my original motivations. My morality seems entirely consistent with certain evolutionary motivations rather than reflecting some sort of morality which has an objective existence.
So having dispensed with scientism we are now on our own and exposed to whatever is out there.....and that is the method.
I really find it hard to go along with this train of thought. For me, what is out there has no real purpose or meaning, apart from that which I give to it. Just to accept this attitude as a 'method' doesn't seem to me to be a particularly useful way of approaching truths. Hence I apply other methods, such as applying scientific findings and using a rational approach. It is in this way that I find no reason to believe in any gods.