The Forest Service isn't in charge of checking for claims. It's a surface management agency, they don't have any authority over mineral rights. You might as well ask your neighbor's cat about mineral rights in the forest. At least the cat won't encourage you to break the law.
It is the legal obligation of each prospector to make sure they will not be trespassing on another miner's rights
before proceeding to prospect. It's called due diligence and it's been a requirement in law long before there was a Mining Act.
There appears to be a lot of private land in that area as well as along the trail. There are a few claims too. Why not do the right thing and get an idea of whose rights you will be encountering when you travel there. It's not all that hard and it's free at Land Matters. Here's a link to the
Mining Claims Maps, you will find a current land management layer on those maps that shows where the private land is too.
what a FANTASTIC site and service to all who use this site! SALUTE to you Clay!