Currently the "quick" way for me to map multiple actions is to create a record script or keyword test. However, it also will record the actions and 99% of the time i just delete the test. If i w...
If you start with the object farthest down on the tree, then TestComplete will come up with a list of all the objects above it that need to be mapped as well. You can either take the default mapping for all of them, or click through a wizard and it will show you each one and you can accept it or edit it. That saves you from having to map each one separately.
I do that and if I know the objects are pretty standard, then I'll just take the default mapping for all of them and either go back and edit a few separately or wait till I'm actually writing the test and fix the ones that fail.