I have put in a fair amount of drainage on my property. I have settled on using the 3" PVC drain/sewer-grade pipe. It is about 30% cheaper than the comparable 4" PVC (although probably still more than the 4" black coiled pipe) and is easier to trench due to the size. It has less flow than a 4" but that or may not be a problem depending upon your topography and frequency of high-volume water.
I had used the 4" black, ridged coils of pipe in the past but had a couple of problems. If they are used in an "open" system where surface water drains directly into the pipe (even through a grate), they will trap sediment and material in the ridges which builds up over time and once it starts, it tends to build up faster and faster reducing the flow - the smooth-walled pipe typically self-flushes clean. I also found more crushing/collapsing issues where the pipe was too close to the surface (even without heavy equipment) - even the drain/sewer-grade PVC seems to withstand outside pressure very well - obviously CL160 irrigation or Sched 40 are even stronger.
The bonus for me has been that PVC pipe is so easy to add onto with laterals, multiple collection points, selective perforation, drains, traps, clean-outs and inter-connection to Sched 40/80 to go under roadways and high traffic areas. I've expanded my horizons of what I can do with pipe and moving water once I started using PVC.