Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Wichita to Sheffield as you normally would.
In terms of precipitation, rainfall in Sheffield ranges from 2.0 - 3.5 inches per month. August is typically the wettest month, when rainfall can reach 3.5 in. February is typically the driest time to visit Sheffield when rainfall is around 2.0 in.
If weather is an important factor for your trip to Sheffield, use this chart to help with planning. For those seeking warmer temperatures, July is the ideal time of year to visit, when temperatures reach an average of 62.6 F. Travelers looking to avoid the cold should look outside of December, when temperatures are typically at their lowest (around 39.2 F).