It's extremely important to take the medication as prescribed- information you read online can be helpful and it is something you can ask your doctor about, but if two different doctors have given you a limit of one, I wouldn't think it would be a wise idea to not adhere to that. Each patient has a different medical history and a web search won't take that into account.
How did your appointment go? I would just state to your doctors everything you have stated here- see what they say about it.
I should mention the last day and a half I went back to my Ziac adding 1/2 to an extra pill, and had stopped Synthroid days ago, and my bp is steady today, and is low. So Ziac seems better for my system. I'm not sure this doctor will prescribe it for me though with the 10 mg pill top dosage and all.