You might consider talking to the University to see if they may want to lease a space. Colleges often have multiple satellite offices. San Jac, for example has a SBA center in Pearland, and the administrative office that handles grants and awards is a few miles from the campus.
Here is a link to the community organization working to improve Houston Southeast, which includes Third Ward. http://houstonse.org/
Here is a link to the official City Of Houston Redevelopment Authority. http://www.houstontx.gov/lara/
The above websites are run by the people who are planning improvements in the Third Ward the area. They will know what is happening now and what is on the books for the future. Talking to them should yield some win-win scenarios for you and the community.
The Purple line of the metro rail is going to connect to the University. If I'm not mistaken, I believe the plan is to eventually run a new rail (Blue) through Third Ward, too.
FYI, in case you didn't know, a few years ago Third Ward Houston was ranked the 15th most dangerous neighborhood in the US on a list compiled by the FBI. Definitely focus on security. Good lighting, cameras, signs emphasizing the presence of cameras, gated entry.....all good ideas.
Liz