Hiking trails in Yellowstone

If you don't want to run into people, consider the trails in the Beartooth-Absaroka Wilderness area, immediately to the North of Yellowstone. 2.2 million acres of land where motorized travel is not allowed. The largest area of alpine tundra in the continental US. Hundreds of alpine lakes. Glaciers with 10,000 year old grasshoppers frozen in the face and the largest expanse of land over 10,000 feet in elevation in the continental US. Be very aware that winter doesn't let go until August and reappears in September. Also, altitude can be a killer, literally so don't just plow in without preparation. Finally, help will be a long time coming and your cell phone won't work, so don't travel alone, let the rangers know of your plans and be sure to let them know when Elvis has left the building. BTW, the elevation of much of the Beartooths is too high for Grizzlies, so you won't have to worry about being mauled to death, but falling off the namesake peak will be just as painful and deadly.