Another company in a similar situation (and maybe this is the company in question) is Dreyer's/Edy's. In case it's not your company, you can look and see if you can gain any insights into how they do their social media. Their websites look to be identical in code, and I don't see any canonical tags. I haven't examined how they have done their social media, but it's a thought of another place to look.
Thanks for your great answers Ryan and Sha!