The Acholi Religious Leaders have taken vital roles over many years attempting to deal with the LRA in peaceful fashion. Their web site, and the link to their specific call for "peaceful means" can be found at:
http://afjn.org/focus-
Betty Bigombe, who Joanie mentions, has of course worked here in the States (at Harvard, the World Bank, and most recently the US Institute for Peace).
Betty Bigombe: Building Peace in Uganda from Global Peacebuilding Center on Vimeo.