Interesting Topic. I am curious about this myself. Definitely one of those hybrid grey areas.
What about creating a separate corridor for this bridge area? You could use templates to start and stop the main alignment at the bridge ends, like you mentioned you did, and then use this second corridor to get the quantities for under the bridge.
You would have 2 corridor takeoff reports but that wouldn't be the worst thing because it a different type of work being performed for each respective "corridor".