I believe you are wanting to move quiz questions out of the QMP tool?
We've used Respondus 4 to extract and convert QMP question sets to Blackboard.
The licence is a reasonable price. We migrated several hundred question sets with this at Leeds.
Be aware there there is a mismatch between the QMP / Respondus and Blackboard quiz question types, so you will have some question types which will have to be edited or perhaps discarded (blackboard does not support all the Question types QMP has), however for a straight MCQ for example you won't have much trouble.
University of Leeds