The link in PineRidge's post has a table which shows what size is needed.
In my case, I think the table indicates I need something in the 24-30" range.
I am going to go with 24" since I think I overestimated the acreage drained. Also, the only place this goes is to a motor home pad, where I will have septic, water, and power. If it fails, not moving the motor home until I repair it is not a big issue. Plus, the culvert is going to have a significant downslope 10% or so, which should increase its capacity.
If the culvert was on my main driveway, I would get a bigger size.