Couple of things.
1st, make sure the area you are dredging is not already claimed. There are a LOT of claims along the Arkansas and you do not want to mess around on a claim.
2nd, read the rules on dredging. Many areas do not allow for it. Some allow non motorized dredges.
3rd, Sluice, A big one of you are going to have a lot of dredged material.
a lot of beer!!!!!

I prospect for gold as a hobby in the nice weather and when I have time. I have a small sluice box and several pans. I have a lot of fun doing it and have found some decent flakes. No nuggets yet.