I don't speak for the whole dev team, but I'd say "please don't do that". We have stated multiple times that we have no interest in making a profit through KS, either by ourselves or through licensing, and such an endeavor would inevitably bring profit into the mix.
I see, I understand that throwing money into to the mix is likely going to cause resentment & discontent among the development team. It's common that some team members may feel that they deserve more reward according to their perceived amount contribution than others and that's how everything starts to unravel. Having worked on various volunteer projects (unpaid), I have personally seen this sort of incident myself.
It is very admirable that you guys don't seek any profit from this, even offers of donations from fans are deflected to charitable organisation. Despite this, Katawa Shoujo still got released. I may not know what happened behind the scene, but I think I can attribute this dedication to the team's passion in the project, the visual novel medium and/or narrative in general. Nevertheless, I am sure that you guys are very proud of what you've accomplished. I know that because that's how I feel whenever I finished the projects I'm involved in.
Putting the issue of money aside, aren't you guys curious how far your projects will go? Having their VN getting animated is a dream come true for must development groups. It is not a certainty that a proper studio will pick up KS, but having a go and seeing what could've happened is still better than not knowing at all isn't it? Even if the petition to the studios does not work, it's still going to raise awareness for Katawa Shoujo, regardless, resulting in more people reading a VN for the first time. Isn't that great in itself?
If the development team still strongly feel that they do not want to attract any publicity at all, then I will give up. But I hope you guys wouldn't prevent fans from expressing their support.
To be realistic, the chance for KS to get animated is relatively slim, but it's better to decline offers from studios than never knowing that there are interested parties at all isn't it?