Immediancy
Students are most concerned about the correct answers on a test immediately after the test. If you wait too long to return their papers, they are no longer concerned with what the correct answer was but are now concerned with how many they got wrong and why their answer is not correct. They no longer care about anything except the almighty grade. So when deciding what needs to be done immediately, returning the test to the student is right at the top of the list. If your class only meets once a week it becomes necessary to be clever and get those papers back before the next meeting. Otherwise be prepared for lenghty arguments over why their answer should be worth an additional point or two.
Have you ever thought about putting just their answers on Blackboard? I know they probably have to show their work so that could be in paper format but if they give the final answer in Blackboard it will self correct so at least they can have a partial score - then you can grade their work shown separately.
I too try to do my best to get tests/quiz back in a reasonable time, however, there are ways I can use the information on the tests to reinforce the objectives being assessed.