Don't wrap the pipe, there are several law suits here pending due to the fabric plugging on the big-O pipe getting clogged and failing, we all have to use perf'ed PVC pipe.
Best bet is wood chips or straw to cover the drain rock. Or just use wood chips instead of drain rock, we did 50 acres with that method and the drains just wick the water out even faster than conventional drain lines do.
“The only difference between a pigeon and a farmer today
is that a pigeon can still make a deposit on a John Deere.” - Harry De Jong