If starting from Engstlenalp then this day is cut by over 8km (or even more if stopping in Rueti) from the below stats. If all is going well it looks good to continue on another 5km (3 hours according to the "map of the area") from Meiringen and stay at Rosenlaui (http://rosenlaui.ch/en/Angebot/Room_Prices) + there are other options on the way. A map of the area
Distance: 28.8 km
Minimum Elevation: 603 m
Maximum Elevation: 2220 m
Total climb: 1535 m
Total descent: 2033 m
Engelberg 1002 m 2 km / 1h00 Gerschnialp 1255 m 2.1 km / 1h30 Trüebsee 1787 m 0.8 km / 0h10 Alphubli 1769 m 1.6 km / 1h10 Jochpass 2204 m 3.5 km / 1h10 Engstlenalp 1836 m <== Starting here 2.5 km / 0h55 Tannalp 1973 m 4.2 km / 1h35 Balmeregghorn 2228 m 2.9 km / 1h18 Planplatten 2211 m 6.3 km / 2h20 Reuti 1057 m <== Finish here? 3.1 km / 1h15 Meiringen 599 m
We can take a higher or lower way, the higher way is preferred but could be more exposed.
The higher route is: Go up to Tannensee and then follow the high ridgeline to Reuti. This seems the best way to go and is now the official trail.
On the way down it is also possible to catch a Postbus from Hotel Engstlenalp, just near Engstlensee, all the way to Meiringen. This would be about the same as a train to Meiringen for 37 CHF anyway but more scenic.
Consider staying at Reuti/Hasliberg just before Meiringen but check the Meiringen places below since it's also closer to shops etc. Meiringen has plenty of accomodation but due to the Sherlock Holmes attraction at Reichenbach falls it can be a bit touristy.
Reuti
Meiringen:
http://rosenlaui.ch/en/Angebot/Room_Prices
For Meiringen, Hasliberg and other places in this area, there are lists of hotels at alpenregion.ch.
For Engstlenalp the Hotel Engstlenalp is recommended for a friendly welcome, clean dorm rooms (CHF35) and private rooms (from CHF55), and a spectacular setting. The Hotel Engstlenalp has information about the area, including pictures, and the hotel itself has great leaflets showing panoramic maps and walking routes around the Hasliberg and Gental regions. These should also be available at tourist offices and stations. titlis.ch has a Summer map showing the route up to the pass, alpenregion.ch has a map of the second day down the Gental, and there's a panoramic drawing at winterspass.ch (600kb pdf file) showing the whole route.
For other activities in the area, there's a shorter walk from Reuti to Brünigpass, or there's snowboarding at Titlis and snowboarding at Hasliberg.
Via Alpina International Secretariat - 2012-06-28
The information has now been updated in accordance to the markings and the guidebook. The trail now runs along a magnificent ridge rather than at the bottom of the valley, and there are more opportunities for shortcuts using lifts.