So you have modified your TFS workitem template so that 'Active' is valid State value for new workitems?
For State field, you could put it using Force Field Update flag selected. If you have done installation guide Step 5 for your account that you are using to connected to TFS. This requires special permissions for the account in use.
Using this flag you can bypass TFS transition rules.
Also, you might add this field map twice with OnNew, once without Force Field Update, default value set to default State value you need to use and without QC field selected. Then add it second time, OnNew, Force Field Update selected and with QC field.
Then what's going to happen is that it first updates your correct value for new item and then updates it to value passed from QC.
Third line could then also be with field method OnUpdate to get next updates to be done correctly.
//Ilpo