I wanted to say wekan (corrected)
Ok, I understand better. I don't think trello-dashboard can work with wekan.
Did you try redmine? (There is a demo on their website).
Does it solve all your issues?
There is this list to explore also, but looks like the best (jira and taiga) are developer oriented.
I think redmine is also oriented developers, but I might be wrong.
If you think redmine is the only software that would solve your issue, then I'm ready to host it.
What is your deadline?