If I am to participate, you can point them to my blog. http://peacefulscience.org, so they can see what I am doing. Most recently (soon to hit the web) I did a dialogue with John Sanford, who is one of their YEC friends. My hope would be to seek common ground.
Knowing that we will probably still disagree about science, I would hope to dignify their position and to embrace them as family without shame. I would probably explain why I am convinced by evolutionary science and how I see it in Scripture, but my biggest concerns with AiG are in their theology of a threatened Jesus, not science.
I want to learn about why they teach that Jesus is threatened by evolution. Perhaps some versions of theistic evolution do not fit their theology, but I affirm a historical Adam, Inerrancy, a historical Fall, and all the key doctrine they are convinced is incompatible with evolution. In fact, I would call myself a "six-day-no-death-before-Adam-revelationist-creationist", to borrow the term from Ken Ham. Perhaps they have problems with some theistic evolutionists, but what exactly does that have to do with evolution?
If you find someone there who is interested in honest conversation, I might have some funds to use to make this happen. It really depends, however, on there willingness to have a non-combative conversation with a peacemaker on the "other side".
If you want to go with someone else, I'd encourage you to email Deb Haarsma or David Buller at BioLogos for some suggestions. I know @JohnWalton has visited AiG offices to discuss his book, and @Joel_Duff and @davidson have both visited the AiG ark and written about them extensively. So I am certainly not the only option. I may be the one most focused on seeking peace.