I agree with Tag Mechir Tzedek that Rabbi Natan Slifkin is also a great resource for various approaches to this subject. I have gained a lot from his writings and I own a few of his books.
Edu, while you might not follow his approach, Rabbi Slifkin cites statements from chazal, rishonim, and acharonim to support his position (actually, the multiple potential approaches to the subject that he offers to the reader).
On the subject of Shalit, if I remember correctly, his opinion of the matter was far more nuanced than you give him credit for (he did point out both positive and negative aspects, didn't he?), but that really has no bearing on the subject of this thread anyway. Rabbi Slifkin has an expertise in zoology and he studied the issue of creation and science in depth to produce his books including surveying the classical sources within Judaism. Either the sources are valid, or they are not. To date, no one has disputed any of his citations. His own speculative ideas (which if memory serves me, are relegated to separate sections in his book where he makes it clear that he is synthesizing his own possible theories as opposed to other sections of the book where he merely quotes different approaches of historical figures in Judaism to various questions and explains them) are built off of these citations.
I think one of the main reasons that Rabbi Slifkin's work is necessary and why he himself does not use an approach like the one you asked about (ie "that plugs in all the details of the creation story, into something that fits the Chronological Order of things that occured on the Earth as accepted by Science today"), but offers additional sources instead, is that the details in chronological order and on the timeline of the creation narrative do not fit with the order as proposed by scientific knowledge.
The Rambam classifies what are called "days" of creation in Bereshit as categories and heirarchies of creation, rather than literal days or periods of time. Edu, is this, in your opinion, also "denying the literal truth of Genesis chapter 1?"