If I understand correctly the problem you are having is saving the tiddlywiki when you edit it.
But it is accessible to the people you want to access it.
If this is the case the responses in this thread do address your problem, but we probably have not been specific enough with instructions.
None of the options are immediately obvious, we are currently putting a lot of effort into documenting them and creating tools to make this all easier.
I am planning on making a similar setup on my home server once I get a real internet connection, unfortunately the installation got cancelled due to the quarantine in France, so I am not sure when that is going to happen. When it does I will be sure to post any tools I make on here.
Single File Wikis
There are browser restrictions that prevent any type of saving other than downloading the modified file unless you have some sort of external helper, there are many options for this. One is a WebDAV saver that you can have in the wikis you are sharing and it can make saving not require any further effort on the part of the people editing it, assuming they can access webdav mounted file systems, this should be possible on any desktop operating system, I am not sure about phones/tablets.
I do not know the details of setting up the WebDAV saver, I believe Mario may be one of the local experts on that.
If the people using the wiki have the next cloud folders with the wikis syncing on their computers there are a number of options for savers. On
tiddlywiki.com in the GettingStarted tiddler there is a big list of savers, it is confusing, we are working on it, the ones that are most relevant to what you are doing if everyone editing the wiki has the folder syncing with next cloud are TiddlyFox, tiddlyie, Timimi and the Ruby server depending on what browser you are using and what you are comfortable setting up.
One thing to be aware of is that when saving single file wikis one person saving the wiki can overwrite another persons changes, so you have to be very careful when having single file wikis in a multi-user environment, there has been discussion about different ways to handle this problem, to my knowledge there isn't any definitive answer past 'be very careful'.
Node Wikis
If you want to use Node as the server be aware that you will need to do something so that the wiki server is also accessible from the outside world, and that you should put some sort of security layer on it. We do not have any standard setup for making a wiki accessible to the outside world, my solution was to make a custom express server with proper authentication and security on it and connect that to a dynamic dns provider and use it as a proxy to connect to the wiki, but that is not a straight-forward process and I don't have usable documentation for it.
If the above isn't enough to get you started with the process of getting a server set up that is accessible to the outside world I suggest using one of the single file wiki methods, currently setting up a secure multiuser node server that is accessible online isn't a simple process. I am working on updating the server I made to do this, but it may be a while before I make any significant progress on it.