If there is supercritical flow that is hitting and going over the road, then I think that is going to be pretty hard for a 1D program like RAS to know whether downstream is supercritical or to be able to compute it that accurately.
One option is to model the culvert as a cross section with a lid and see what RAS gets for an answer.
Another option that would be pretty awkward would be to put a junction just upstream and downstream of the culvert and have two reaches between the junctions. One reach would contain only the culvert (make the weir high enough so that it does not have flow) and the other reach would contain the actual weir.
I don’t know that either would be that accurate but one or the other might give a supercritical answer downstream.