Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Fort Hood to Branson as you normally would.
For a flight from Fort Hood to Branson, you will be flying into Branson. Branson (BKG) is just 7.4 mi from the center of the city. Branson is the only Branson airport and it handles 0 inbound flights from Fort Hood per day. 3 airlines have flights to Branson from Fort Hood on a regular basis.
The most popular airlines flying from Fort Hood to Branson are American Airlines, Linear Air Taxi and Via Air. Something to consider prior to booking your flight.