Accepting an award is very similar to accepting a compliment.
 

The easiest, most effective way ---is to respond with a simple and direct "Thank You."  When faced with an award presentation, try approaching the Toastmaster (or presenter) to one side, accept the award on a side-by-side position so that you may comfortably face the audience, show the award with pride, and acknowledge a "Thank You." If you are the one making the presentation take responsibility of  the situtation, position yourself appropriately to lead the honoree into the most desirable position. Remember the audience is the "audience."

Frank Switzer, Park Central,  accepts Humorous Speech  Contest Award

If a camera(s) is present, face the camera and hold the "award acceptance" long enough for photographs to be taken. Avoid forcing photographers to "grab a shot." Most likely you will be caught in an awkward and often uncomplimentary position and/or facial expression.

This is part of the courtesy you extend to the audience, the presenting organization, and the person(s) taking the photograph. It is also a form of recognition you bestow upon the audience---a way of returning to them the recognition which they have given you. 

You can do it. Pose with poise and face the camera.