If you're going to start irrigating, there are somethings you need to consider.
We have irrigated pasture and we use wheel lines and handlines. We have an Irrigation Project and run our irrigation system 24/7 except for maintenance down time. Yes wind and sun cause some evaporation losses but whether they are significant or not depends on the temperature, wind speed, and humidity. Our transpirations this year are running around 0.20 inches per day (24 hr period) but they can get to 0.30 inches when the tempertures get above 90ーF. Our climate is pretty dry in the summmer months so we need to get the whole place watered to keep the grass vegetative. We don't have a choice of just night time irrigation.
I can lay down about 3-4 inches of water in a 11 1/2 hr set and about half of that is available to the plant (grass) so I have to get across a pasture in ~ 7 to 10 days @ transpiration rates of 0.20 inches per day ( 3 to 6 days @ 0.3 inches per day). I can only do that running 24/7. Our sprinkler spacing is 40'X60' and we use a skip technique to maximize our coverage. (That's not important to you if you are going to use a wate reel.)
Using wheel lines on 20 acre pastures, I can cover 20 acres in 5-1/2 days which will cover my worse case conditions (0.30 inches per day).
I don't know if you have an Agrimet (Bureau of Reclamation) station near you but if you do they post the transpiration daily and predicted water use dependent on the crop. It usually includes pasture grass.
So knowing your transpirations and sizing your system to match your worst case water requirments will help you make the most out of your irrigation investment.
Hope this helps you.