The "imprint" doesn't necessarily need to show your private address though, only an address of "someone responsible for the contents of these website."
Do note that "someone responsible" can be a legal entity! Not only cooperations but also a "Verein" or a similar legal construct.
Also, note that you do not need to list your address, only a "Anschrift", which often times is the same thing as an address, but really just means "If I write this on a letter it has to be delivered to you." So a postal box for example works just fine.
If you are a startup you will have all of these things anyways, I don't know a single startup that isn't also a legal entity. Indie makers is a bit more tricky, but as mentioned before it is pretty easy to get around this requirement via a "Verein" or something similar.
As for free tools not being usable, I honestly don't think it is that big a problem. Google Analytics doesn't work for you? There are other offers out there. Or you could selfhost matomo. Or if you want then you can just go ahead and run an awk script on your Webserver log.
As for not finding information and on the sites of famous European indie makers, I am going to let you on on a secret. The "Impressum" was always intended so that consumers could have a look at who they are dealing with over the internet.
To this day it is still handled like that. If you aren't selling anything or doing anything else that "a classic" company would do it is highly unlikely anyone is going to care whether or not you have an Impressum.