Emma & Felix came for 2 weeks from India into Nepal and had the opportunity to do jungle trekking in Chitwan as well as a 4-day trek to Pikey Peak, rewarded by sunrise over Mount Everest.
Here is the custom itinerary that KissMissNepal designed for them - check out the last section, which gives ideas if you're open to self-determination ;)
More on the PolarStep set up by them.