For the most, the QS places are open the same hours as the parks are open. For EMH, that can vary. There are also some seasonal QS places that might not be open at all. (check allears for those).
As for the resort QS, I don't know exactly. They are generally open pretty early (5-6am) to pretty late (10-11pm). That is just a guess based on my experience. I bet you could look up the resorts themselves and get firmer times.
I am sorry I don't have more accurate info.