I know it's possible bruteforce 4 missing words
Are you sure that this is possible? I know that for two electrum missing words, it can take around 20 seconds on an average pc. For three words it'll take 20*2048 = 40960 seconds which is equal with ~11.3 hours. But for 4 words... Oh boy. It'll take around 23,142 hours which is 964 days.
Let's say that I don't know any of the words, but for 12 words (out of 13) I know the last one or two letters, and for two words I know the first letter.
I also know their order and even some of their length.
You can surely reduce it, by a lot. But still, brute forcing by not knowing 4 out of 12 words isn't meant to be found.
So let's say that now I have 13 lists of possible words, is there a available tool that I can use with those words as input?
Are we talking 13 lists of mnemonics that don't have 4 words out of 12? It seems impossible to me the way you describe it.
Anyway, there is no program that can do your job, but if you have 13 lists of possible words then you can try
FinderOuter. Instead of opening one window, open as many as you want and use a mouse scheduler for each window.