've seen some tools that vary component values for optimal parameters, tolerances, etc., though that's with lumped elements. Don't know if the same exists for printed format (or others, e.g., cavity, waveguide, etc.).
Eagleware produced =M/FILTER= back in the early 1990s that allowed several common printed filters to be designed. eg there were several lowpass, lots of bandpass and some bandstop topologies.
It proved invaluable at my place of work but sadly, Eagleware (and later Agilent) never really developed it further in their Genesys suite. So the latest version of this SW has pretty much the same range/capability for printed filter design as the old version. The later versions have a useful optimiser function and I think the design algorithms are a bit better but essentially it's the same thing.
You enter your chosen substrate (usually from its library) and then it asks for filter order and enter the passband response/ripple and you also get control over what impedance traces it uses in parts of the filter.
See below for a quick screenshot of a combline BPF design using the 2004 version of Genesys. I can probably find an old version of Eagleware from around 1995 that would look very similar.
It is a very slick process and any user edits and resimulations are essentially in real time even if you change the order of the filter. It self generates the PCB layout and sets up the simulation in a very fluid manner.
It only takes about 1 minute to start the SW suite and design that combline filter to the stage shown in the image below if you are experienced in using this program. However, in reality a certain amount of manual tweaking/experience is needed beyond this. Eg the default via hole placement is poor wrt the caps (as you can see below) and usually the tap point isn't ideal for best return loss. Also, it needs to be simulated in a decent EM simulator and this would be the next stage. i.e. I'd add a Sonnet layout simulation in the workspace tree and run an EM simulation. The height of any screening lid over the filter will affect the passband and the Sonnet EM simulator can predict this effect very accurately.
In order to get really precise results I would manually tweak the length of the combline fingers to optimise the design for a single value of ATC capacitor and this takes some experience.
But because I've been designing filters like this for over 20 years I can confidently design a combline filter and go straight to an expensive and fully populated Rogers PCB without even prototyping the filter. But usually I would mill it on a T-Tech or LPKF machine and test it