The concept of science is contained within the knowledge which comes from conscious human awareness. As such, science does not exist outside human awareness. Science cannot perceive itself, for perception itself is not defineable within science as we know it. So if conscious awareness is a property of the human soul, science can only be perceived by the human soul.
All the literature written about science is only ink stains on paper until it is perceived in human awareness.
Science is a word which is simply a generalised label given by humankind to define the ideas underpinning our attempts to examine and describe the natural world with its attendant processes and methodologies. Pretty obviously, if there were no human beings, there would be no such word, and no scientific knowledge, but what science appertains to would still be there i.e. the natural world(unless, of course, you are some kind of solipsist).
So, obviously, science cannot perceive itself because its aims and processes are a result of the human intellect. But the human intellect can perceive itself, and nothing has been discovered afaik that suggests that this perception is dependent on something extraneous to the human brain.
The bald statement:
So if conscious awareness is a property of the human soul, science can only be perceived by the human soul.
might well be true, but unless you can give actual evidence that this 'soul' exists,( and so far you have given none whatsoever), your statement becomes simply a fatuous assertion. I could just as validly say that if conscious awareness is a property of a minute, invisible, pink unicorn which lives in the pineal gland, science can only be perceived by this unicorn.
Remember you did say that the idea of a 'soul' fits in quite well' with modern science. Does this mean that the unicorn idea fits in just as well then? Actually, thinking about it, I think the 'unicorn' idea fits better because, at least, I have given its location, even though, being invisible(to all scientific testing of course) it can never be found.
Still waiting then for evidence for this 'soul' and how it 'fits in quite well' with modern science.