There is no CS solution to the hard problem, because the hard problem is not about information, or behaviour, or data compression, or rocks. It's about subjectivity, and there isn't even a working definition of what subjectivity is, never mind any experiment that can be done to confirm that it exists.
Subjectivity is essentially metaphysical in the sense that it's outside of science.
It's impossible to make a testable statement about any phenomenon of any kind that isn't filtered through human perception and all the layers of human cognitive processing.
In a very real sense it's objectivity that's the illusion. Try to make a statement about anything whatsoever that is truly independent of collective human sense perception and human mental processes and see how far you get.
Whatever you think you're doing in science or math, you're looking out through a distorted window whose properties you're not aware of, and trying to correlate your observations with others looking out through windows with similar distortions.
The best you'll get is an interesting list of distortions which everyone agrees on. Even if they have predictive power, that doesn't make them truly objective - it just makes them a spiky median of collective experience instead of an outlier of individual experience.