the 10 per day parking does go with 1 day passes as well. If it was different, im sure it would be announced on AM's website.
There is some other parking garages around the hyatt hotel but you would have to do some research and find out how much they cost per day. There is also parking in the street and that varies depending on what street. Each street goes by a different meter rate. If u park on the street, just be careful and read the signs. Some streets only let u park there from noon to 4pm for example. If u park on the street, its free after 6pm until 7am.
More info on parking meters: http://www.houstontx.gov/parking/meters.htm
hope that answers most of ur questions.