NAWL does now, and I think I'd feel most comfortable--only because this is what I've agreed to do--to speak for NAWL.
First of all, the only body, as I understand it, of the court challenges program that has representatives is the advisory committee, unless I'm wrong. But I think I understand the program enough to say that the panel, for example, and those decisions, and the board or the groups that would make decisions with respect to the distribution of funding, don't have representation from organizations.
I'm not entirely clear what the mandate of the advisory committee is, but I understand that it comprises representatives from anti-poverty organizations, gay and lesbian organizations, women's organizations--this kind of thing--and there is also an advisory committee for language rights. Though I can't speak to its mandate, I understand that its task and the work that it does concern bringing perspectives on equality from all of these organizations that represent disenfranchised groups.