Not many places you could legally pan on those rivers. No gold in those areas so probably not worth finding out anyway. If you want water and gold together it's pretty much just Lynx Creek in Arizona. Gold and water are a rare combination in Arizona, in those few areas that are open to mining that have both water and gold the lands have been claimed. It is possible to occasionally find areas that meet your water/gold needs but you will have to learn research skills that go way beyond casual prospecting. I know of one TNetter that found a good claim with running water (dredgeable) this year within easy driving distance from Phoenix but he worked long and hard to find and claim that spot. It wasn't his first Rodeo.

You've been given the easy options. You can learn more skills and use them to find your own place, you can join a club or you can go to Lynx creek. Heavy Pans