I don't know if the sluice has a handle but you could attach one at the balance point or just make a sling setup so you can carry it with the sling over your shoulder. To lighten the load, roll up the mat and put it in your pack since the mat itself probably weighs as much or more than the body. Buckets and a shovel are another issue but the shovel could be attached to the sluice and the buckets, with mat coiled inside, seated on the shelf of a military style pack with a shelf.
With that said and for total backpack portability, I would say just cut the body in half and fabricate a way to re-join the two pieces so then you could nest them and the flare together to strap onto a pack such as was mentioned above......that is doable without affecting sluice performance IMO*. I am kind of kidding here but on the other hand I my self would be tempted.
Good luck.
*1 or 2" extensions of plate spanning most of the width of the sides and bottom and welded to the outside of one section so as to overlap the outer body of the other section and then secure the sections together with bolts and wingnuts on the sides. The gap between the two sections can be taped with gorilla tape in the field before installing the mat to prevent leakage.
