Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Exeter to Anaheim as you normally would.
Exeter (EXT) is the airport you will fly out of if you book a flight from Exeter to Anaheim. You should not have trouble finding flights to Anaheim from Exeter; the airport handles an average of 0 outbound flights to Anaheim per day. You should also have plenty of airline options to choose from since 3 airlines have flights from the Exeter airport to Anaheim. It is only a 5.3 mi journey to Exeter (EXT) from Exeter’s city center.