Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Virginia Beach to Clovis, New Mexico as you normally would.
For a flight from Virginia Beach to Clovis, you will be flying into Clovis. Clovis (CVN) is just 7.4 mi from the center of the city. Clovis is the only Clovis airport and it handles 0 inbound flights from Virginia Beach per day. 0 airlines have flights to Clovis from Virginia Beach on a regular basis.