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Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Dallas to Exeter as you normally would.
In terms of precipitation, rainfall in Exeter ranges from 0.1 - 1.1 inches per month. February is typically the wettest month, when rainfall can reach 1.1 in. May is typically the driest time to visit Exeter when rainfall is around 0.1 in.
If weather is an important factor for your trip to Exeter, 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 60.8 F. Travelers looking to avoid the cold should look outside of January, when temperatures are typically at their lowest (around 41.0 F).