Firstly, please clarify your project's scope.
This first bit may or may not be a relevant recommendation, because I can't tell if you're planning to write out only the decisions that some hypothetical group of players/readers make, as you go, or if you wish to create an entire tree of decisions and (then?) host it somewhere - but if you are in the former case, I'd try Spacebattles, Sufficient Velocity, or (if you're generally focusing your writing upon prurient matters) Questionable Questing (which is the only one that fronts "quests" as their raison d'etre, but it's still a popular keyword I'd use to search for any further examples, and all three sites have dedicated tooling for it). I've seen websites more focused upon the latter case 'in the wild' before, but I have no particular experience with them as a writer or reader.
I believe it may be possible to adapt the forum-style hosting of the above-recommended sites to "writing the entire decision tree" cases, but I certainly wouldn't recommend it - at least, not if you're planning to release all at once. I can actually see a "vote on which branch to explore" setup getting some decent traction, though it would still be - odd.
Secondly, this might be better modeled as a game, than a book, and you should consider pursuing it accordingly.
If I were doing this myself, and in the "make the whole thing in one go" case, I'd think about busting out a proper game engine, or at least a fancy webpage, something more than a bare blog as others have recommended; I don't know if I'd recommend that to someone with no prior experience in programming, but it seems to me that you're approaching the level of complexity in possible results where you'd need to start making decisions like "Okay, all these characters give equivalent outcomes in this challenge, modulo some specific bit of character flavor" to actually get your project done in a reasonable amount of time/effort.
I've heard of an engine called Twine that is reputed to be good for that, and produces web-hostable output, as far as I understand it. (That is to say, not very far, but hopefully far enough; I've never used it myself, though I know quite a few people who have.)
I will also second that Choice of Games is a decent reading experience, though I can't speak to writing for it - and, funnily enough, they release their projects as standalone apps.
If you're only going to explore one path of the many available routes, look for sites that host "Quests". They've got the tooling for it.
If you want to do the entire tree, this is something that should be developed more like a videogame than a blog. Choice of Games, if you want to work with a publisher-of-sorts (n.b. I have not looked into them from the authorship side, I have no idea how they work), or the Twine engine, if not, come to me decently well-recommended. You can complement this with a devlog hosted on e.g. Wordpress (or one of the questing sites, for that matter).