How far downstream of your reach of interest does your model extend?
I would place the downstream boundary so far down that you capture any geometry that may control the water level at the bridge. I would also check that reasonable changes to the downstream boundary condition (slope, if you use normal flow) does not effect the slope.
You may also consider if inflow from tributaries downstream of the bridge may affect the tailwater level, for example other inflow to the swamp.
When running a flood hydrograph (un-steady) you should also consider the flood duration and total flood volume. If the swamp has a large storage capacity an will dampen the flood, a flood with longer duration (larger total volume) but lower peak may give the highest water levels. Try a steady run with the Qmax from your unsteady and compare levels.