The way it is i believe that a saddle that can carry the heroic treasure instead of us would be the best solution. Heroic treasures are not items that fit in inventory so far, so their mechanic should totally change.
I also like what @Kapoteeni suggested, a backpack that will allow the bearers to carry it.
Yet this will eliminate the speed devs want someone to walk while carrying the heroic treasures. I believe that the random attacks while carrying this treasure will return.
My workaround so far, but only because i need their gold, not their decoration, is to carry with me shaped wood and reinforced iron, i place treasury chests close to the spawns, so i won’t have to carry them for long distances. The account cash the treasure in coins and i get the coins and dismantle the chest. This way, in a simple round you can take over 30k gold coins in a couple hours max. If you have tp stones it’s less, way less and you can carry the statues anyway as one piece.