I've been to Nome. I've mined the beach-line north of Nome.
I spent a couple of weeks running beach boxes, spent time fishing for salmon (caught lots and lots) and I did a lot of exploring.
I had a wonderful time and I'd do it again in a heartbeat. Mining on the beach depends a lot on what the ocean is doing. If the ocean is rough, you can't keep a foot-valve down to keep suction for your pump, so beach-box mining takes place when the ocean is calmer. You'll have to learn to pan in the ocean which is a bit of a trick. Take hip-waders and back into the surf; face the beach and time the dips of your pan so the waves don't knock the contents of your pan back into the ocean; it's a bit of a trick, but after a while, you'll get used to it. The ocean water rusts and corrodes everything, so keep that in mind. You'll need a wide beach-box to spread out the water volume to allow the tiny gold to drop. A carpet in the box will trap the fines. You'll get lots and lots of fine colors to a pan; use polarized sunglass lenses to spot the heavier concentrations of ruby sands along the beach to locate pockets of super-heavies lying on the surface; the gold likes to hang out in such places. If there's a whack of driftwood along a beach line, check behind the driftwood pile (opposite side from the ocean) as it works rather like a big riffle to concentrate the heavies. If you dig down in the sand, you'll notice lenses of black sand and ruby sands: work the pockets of heavies as the surrounding sand is usually hardly productive at all compared to a lens. Be sure you have bear protection of some kind as it's very likely you'll bump into one somewhere, sometime. If you're only there for a short time, gather your concentrates, concentrate them some more and bring them home to process to save time and maximize your gold gathering opportunity. Stuff up that far is expensive so be ready for that. If you can take a quad (have it shipped in a container) you'll have way more fun.
All the best,
Lanny