Great trip! I've spent a couple weeks in the Adamants/Gothics, and we hiked in via the trail back in 2006. It took us about 8 hours to get to the hut, and it's not really that far, the difficulty lies in the large avalanche fans that the trail crosses between the standing timber down low and the start of the moraines. They are very bushy, and we also encountered large areas where mature trees had been laid down into an unstable jackpot of logs and branches, which was tiring with a big pack full of gear.