Affiliate Marketing Secrets

I’m somewhat OCD, and Facebook Timeline kind of drives me insane. The newest reason is that it won’t let me add my employer using the ACTUAL Facebook page of my employer. Here is what I mean by this:
I work for a certain YMCA branch. The branch has a real page with a profile picture and everything that they update regularly. However, when I go to add it as my employer, their actual page doesn’t show up as an option. Instead, it’s just a blank page that doesn’t have an image or anything.
My only guess is that the ACTUAL page for that particular YMCA is listed under Sports/Recreation/Activities, and therefore does not appear on the list I need it to. I really want the actual page to show on my profile, because I want the image to be there and I want to be affiliated with that Y.
I’ve had similar issues with other things, where a movie might be placed on my favorite books list when I clicked “Like.”
Does anyone understand what I’m saying here, and have any ideas on how to fix it? Do you know how to contact Facebook so I could request they change it? I think all pages that you can “Like” should be available to place on whatever lists you want them on.