LED lights do draw considerably less than incandescent bulbs so one easy solution would be load resistors like the # DI34ZR that you referenced since these simulate the amperage load of an incandescent bulb. view full answer...
The Super Titan Trailer Hitch # 38208 fits trailer frame width range of 34 to 34-1/2 inch so it would fit well on your 34-1/4 inch width measured outside to outside. view full answer...