right side high beam is out. the bulb checks ok. what else can I check

What is your question?

with the engine running, car in drive, the left driving light flickers, the right side is out and a buzzing comes from the dash. Moving into park, the left driving light remains flickering and the buzzing continues. As soon as the headlights are turned on, the buzzing stops, but there is no high beam on the right. Low beams are on, on both sides, so far. Also, as the left driving light is flickering, you can here the engine draw down(possible electrical load) and go back up to speed when the headlights are turned on. All tests were done with all auxiliary (radio, A/C etc) turned off.

How long has your 2003 Honda CR-V had this problem?

problem has been happening for about 6 months