I think you can see some part of everest from Helambu, only if weather is clear!

From Nagarkot, part of Everest can be seen if the weather is clear.

Besides that you can take a mountain flight to get a good view of Everest or even take a helicopter and have a breakfast in Everest view hotels.

Or you can get a Jeep or motorcycle and drive to Solukhumbu to get a view of Everest from distance.

Hello Josef,
We recommend you to go Nagarkot, or Daman or Solukhumbu ( You can see the some part of everest from here, only if the weather is clear)
You can easily go with Bike, Zeep on these places. We have motorbike tour to Everest view point, check the itinerary below:

Day 1: Start Ride from Kathmandu
– Kathmandu to Ghurmi (179 KM), Approx 6-7 hours ride.

Day 2: Ghurmi to Pattale (2860 m)
– We will ride from Ghurmi pattale (62 KM), Approx 5 hours ride.

Day 3:Explore Pattale
-Pattale- Ringmo (42 KM) and back to Pattale, Approx 7 hours ride (84 KM)
Enjoy the sunrise and clear view of Mt. Everest, Lhotse, Nuptse, Pumori, Makalu, Kanchanjunga and Gaurishanker and return back to Pattale.

Day 4: Pattale to Khurkot
– We will ride around 124 KM, approx 6 hours ride

Day 5: Khurkot to Kathmandu
– We will be back to Kathmandu. End of the tour

Check this link for more details:
http://citymotorbike.com/packa ... days/

Few pictures from our previous tour to Everest view point.