Draft Wizard does support Team QB leagues.
To access this setting, view your league in Draft Wizard, click "Edit" next to Settings, then click the "Roster" tab to edit your league's roster settings.
When in the "Roster" tab, scroll down to find the More Team Positions section and click the + next to Team QB to change the amount of starting Team QB positions your league uses.
Please note that if you have Team QB as a position in your league, but do not have QB as a position, please set the QB position to 0 using the QB drop-down menu.
Once you have finished editing your settings, click the blue "Save Settings" button at the bottom of the window to save your changes.