2006 HARLEY-DAVIDSON Flhrci

I HAVE A 2006 ROADKING CLASSIC WITH 10,609 MILES. MILEAGE WHEN PROBLEM STARTED WAS 9,837. WHILE RIDING IN THE BLACK HILLS, GOING DOWN A 6% GRADE, THE ENGINE DIES AND THE SPEEDOMETER DROPPED TO 0. I COASTED TO THE BOTTOM OF THE GRADE AND PULLED OFF ONTO THE SHOULDER OF THE ROAD. WHEN I STOPPED, THE FUEL PUMP PUMPED UP, THE CHECK ENGINE LIGHT CAME ON AND WENT OFF, AND I STARTED THE BIKE AND WENT ON. ABOUT 3 DAYS LATER IT DONE IT AGAIN, AGAIN GOING DOWN A STEEP GRADE. THIS TIME I PULLED IN THE CLUTCH AND FLIPPED THE ENGINE KILL SWITCH OFF AND ON AND THE ELECTRIC CAME BACK. I STARTED THE BIKE AND WENT ON. IT DID IT A TOTAL OF THREE TIMES IN TEN DAYS, AND EACH TIME I WAS GOING DOWN A GRADE. I TOOK IT TO DODGE CITY HARLEY DAVIDSON, THEY CHECKED IT AND COULD NOT FIND ANYTHING WRONG. I WAS PASSING A VEHICLE THE 2ND TIME AND WAS JUST PULLING IN FRONT OF HIM WHEN IT DIED OUT. NOT A GOOD THING OR FEELING GOING 65MPH. DOES ANYONE ELSE HAVE THIS PROBLEM OR KNOW HOW TO FIX IT? *TR