4" would be appropriate for soil drainage, with a shallow grass-bottom swail ditch for run-off. There is no need to try to carry all the run-off flow in the soil drainage tile.
I just tiled 12 acres last spring and all the runs (over 4000 ft) flow to a central 4" tile that daylights out the side of a bank. The tile only runs 1/3 full 24/7 in the spring, so 4" should be plenty big for your job.
Unfortunately, the OP is not talking about soil drainage. He specifically detailed a "small creek" worth of flow from surface sources. Need to size for the bigger events. I too have done lots of 4" pipe for soil drainage and roof drains. It works great if that's all you need.
Back to the beginning... why do you want to fill this ditch? Open channels work great for dewatering, conveyance, and easy maintenance.
There is no such thing as a wetland, just a drainage problem.