I don't know of any specific Integral resources on suicide prevention, but obviously using the ideas in the Integral Life Practices kit, and the general ideas of Integral practice (exercising mind, body, and spirit in self, culture and nature) are going to be major elements in keeping people healthy and not falling into depression and suicidal thinking. So that might be something worth checking out. And you might want to contact the folks who do the trainings in Integral Psychology. I couldn't find any email addresses for them, but I didn't look too deeply. I'm sure someone in the main I-I offices could help direct you if you emailed or called them.
Also, you might enjoy the project that I've recently started, which is a melding of Integral theory, Spiral Dymamics theory, and Maslow's hierarchy of needs. The goal is to create a guide to healthy development for teachers, health care professionals, policy creators, and individuals. I've only just begun the project, but you can see the outline of the guide here:
http://www.thewiseturtle.com/needs.htmlMaslow's needs correlate very well with the Spiral Dynamics and Integral developmental stages, if you do just a little fiddling. And once you set up that corellation, you've got a great prescription for understanding how and why we move up the levels, and how to help others move up those levels in a healthy and happy way.
I'm going to continue to work on fleshing my guide out, and doing more research on what elements make up healthy development, but the basics that I've already got up are a great start for anyone looking for ideas on how to build a successful program.
Peace, Love, and Bicycles,
Turtle