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If you want to experience the trekking and the Sherpa culture, I recommend trekking in the Khumbu Valley, especially Gokyo Valley and Everest Base Camp. If that's not your sort of this, Bhaktapur is a beautiful older city a few hours drive from Kathmandu. Chitwan National Park is an amazing experience, where you can go on elephant safaris and see rhinos and tigers.
If you can locate a bigha of land bordering one of the beautifully blue Gokyo Lakes in the Sagarmatha National Park make on offer to pay the government of Sanghiya Loktantrik Ganatantra Nepal $2,500,000 per anna or a total of 239,992,320.25 Nepalese rupees at currently published exchange rates. I know that sounds like a lot of money but actually it's just $135.16 per acre. If you broker that deal I am sure I can find the financing.
Dudh Kosi, The river drains the Mount Everest massif, the highest peak in the world. It begins just east of Gokyo Lakes and flows south to Namche Bazaar. Continuing south, the Dudh Koshi exits Sagarmatha National Park and passes to the west of Lukla. The Lamding Khola joins the Dudh Koshi to the southwest of Surkya and continues its southerly course to Harkapur, where it joins the Sun Kosi.