The use of a mannings equation will not help you in this scenario.
As msquared48 has said a backwater calculation is probably the way to go, however, you will have to consider how the flow is actually getting to the drain.
Looking at the smaller picture 0% slope= 0 conveyance....
You will probably have to consider a more broader approach considering the flow paths u/s of your area of interest, is there enough momentum u/s to actually carry the flow to your area of interest???? A RAS model may be the way to go...
Hope this helps.