In the front of your car somewhere along the wiring harnes close to where it meets the headlights is several ground wires that are attached to the chassis with a small bolt thats probably not doing anything else but holding that wire on..
Check that out, if you cannot find it, splice the ground of ONE of the primary (not hibeam) headlamp plugs and ground it to the chassis. That will eliminate the situation as long as there is voltage coming down the red wire of the harness when you activate the lobeam lights.