Okay, I'm convinced. Are you going to run a kickstarter to raise money to publish, or are you going to make us wait until it's finished and published?

Thank you very much, Treacle! I also really appreciate this comment as it is dead-on correct as to my intentions.
My goal is a really beautiful hardcover volume with illustrations on almost every page. A progress blog will eventually go up when the scope of the project is a little more defined (as is my commitment to it).
In the long term I plan to do a kickstarter. This will hopefully be in a month or two when I have the style, characters, etc. down pat, a few chapters fully illustrated, and a proof volume to use as examples.
It will be a relatively small run. I'd rather market my work specifically to people who are true fans of Carroll's books rather than general consumers, as I think people in forums like this will appreciate what I'm trying to do more, and in turn I appreciate them much more for it.
At this stage I'm working on developing a style that is both consistent and distinctive enough to illustrate the whole book, and perhaps TTLG. It sometimes takes several versions to get an illustration I'm really satisfied with, and bear in mind these are all first-drafts. I'm still playing with materials, and the character designs are still too rudimentary and sometimes look too inconsistent from illustration to illustration.
So what I post here are very early stepping stones to a much more ambitious project, one I hope will succeed with this forum's help. I will continue to post picture updates and details as I develop it!
Best,
AP