For a book with Pages, bleed object to beyond page edge for printer's cut?

I'd like to continue to use Pages for a book interior, not convert it to another program, after getting the TOC and the headings and custom charts all lined up.

But, I also want to bleed several pages to the edge, using a block of color. I mean past the page edge, so after the printer's cut, the block of color goes all the way to the page edge. It shows to the edge on the screen and on the previewer (KDP), but on the printer's cut of the actual proof book, the color block was still short by a blank sliver of white about 1 or 2 mm, and the graphic works best to have it all the way. On the KDP set up, I had the bleed extended out. It's just the the Pages document set up stops directly at 6 x 9.

I could use some advice, if anyone is also doing books.

I will try resetting the document at 6.2 x 9.2 for the whole book and see if the PDF download will take on the KDP-Amazon system, with the bleed set out on the KDP settings, but is there another way? As I'm not sure if that will work, or if it will screw up the interior cut/margins of the book along the pages glued to the spine. I'll see if it downloads, and, if so, order some proofs on different dates, so as to get different print cuts. But what do other book formatters do?

Now, the bleed is almost there, but it doesn't have the desired effect with this sliver of white there, which I don't see how to fix. One printer's cut might be over the 1 or 2 mm, but not another. The shape (rectangle) holding the color (gray) just won't expand past the 6 x 9 page setup within Pages. Yes it shows a bleed to the edge, but I need to extend the bleed a little for the cut. One entry said to make the page bigger, but I do not see a way in Pages to do that with a 200 page book, with only 5 pages in the middle on which I want this bleed effect (thus a page of 6.25 x 9.25).

Maybe I could I use a PDF editor (like Adobe) to have these 5 6.25 x 9.25 pages pasted over blank pages in the regular 6 x 9 PFD? Does Apple have a PDF editor in its portfolio that works well?

Is there a way in Pages to get the desired bleed all the way to the edge, guaranteed, not just maybe, depending on the printer's cut?

Or do I have to convert this book to another program? I am fluent in Adobe InDesign, as that's what I make by book covers with, but I've only done the book covers, never the whole book, which I suppose might not be too hard of a conversion? But that involves the TOC, and the endnotes and later on the index, which I haven't done yet. Would anyone recommend iBooks Author? Or what are iBooks Author's pitfalls? The last time I looked at iBooks Author, the TOC had some cumbersome stuff that I don't even remember what the issue was about.

I will also have to plan for the conversion to ePub, which I managed before on a Word for Mac document last time, even managing to get the TOC, the endnotes and the index to work, including jumping back and forth, although that was a lot of bookmarks to set up manually.

So, I'm hesitant to convert out of Pages for the paperback version, if I don't have to, but I'd really, really like to have these pages bleed all the way. They are designed to separate the two halves of the book. It would be best for this book.

What do other book publishers use? What are your recommendations?

I hate Word with all the regular crashes, and a major glitch in an updated version (the tables had numerous embedded errors in the PDF version, which I had to correct one-by-one by hand with an Adobe PDF editor). I've sworn off Word to my dying day. I won't even cut and paste from Word, not one sentence, as it brings in formatting glitches into the Pages document along with it. I'm happy enough with Pages, as it never crashes and has enough formatting options for the interior to spruce up the text and charts, and I got the TOC, sections, page numbers, and endnotes to work just fine. For print editions, the interior and the cover end up as PDFs, no matter what program we use, correct? That's what I download, a PDF, to KDP-Amazon, Ingram, Nook, etc. And then I converted to ePub (using Pages) for the ebooks on Kindle, Apple, Google, Nook, on my previous book.

But perhaps I should get used to doing all this in InDesign? Or iBooks Author? Or stick with Pages? I don't expect to need such bleeds in other books.