You mean like Elon Musk recommends, right? Start with "first principles" - that is, "what we are sure is true". Don't "reason by analogy". They mean the same thing: don't take authority's word for it, go back to fundamentals and reason for yourself. That's just what good thinkers do automatically ... sometimes.
Physics relates to the issue in two ways. One, physicists need to follow this advice (sometimes) also. Two, physics has always provided laypersons with the "first principles" of reality itself, relevant to any undertaking: entrepreneurial, philosophical, whatever.
The flip side of "first principles thinking" however is: you have to take authority's word for it anyway, most of the time. You can't always figure it out for yourself from the ground up. In that case you'd still be trying to understand what food is good for - since you didn't accept Mom's advice on the topic. Or you'd be in jail trying to understand, from first principles, why you should follow laws. You'll be a lousy student if you don't just believe the teacher most of the time. S/he'll be very happy to see you think things through for yourself - after doing all the assigned problems! Scientists often have to believe other's results, can't check everything yourself, you'd never get anywhere
"Believe" experts and act accordingly, while always questioning and understanding why they said that. When you realize they're wrong reject them, but until then - the fact is, they're probably right.
The first principles of physics for a physicist means the fundamental laws - Thermodynamics, Newton, Maxwell, SR, GR etc.
But for general use they're more basic. Time, space, matter, light, motion etc are the "first principles" of physics for non-physicists. Thinking about what they really mean will help in any endeavor. Read Aristotle, Kant, and so forth. All the great philosophers are worth looking at. By the way don't get caught up in pop-science about multiple universes and such; completely useless.
That's not to say real physics is irrelevant for a layperson (like myself, for instance). In the modern world the basics of electricity are important; also mechanical systems. Even more sophisticated ideas like thermodynamics and geophysics are useful for understanding issues like global warming. If nothing else it's very interesting.
I don't know any good blogs that talk about this sort of thing but I checked on google, didn't see any meat.
There are no simple fool-proof rules for "how to think". Learn by doing.