Considering they equate estimations of hours on tickets w/ hours you work and bill, all hope is lost. A dev shop should know better. The fact that they don't is disheartening, and makes me think management level is not run anyone w/ software dev experience.

The cynic in me says that you should just pad hours on ticket estimations to encompass ancillary tasks and bill for 40 hours while working the same as you do. It's a bit dishonest, but you may end up with happier management, and a happier you.