If you have the time and inclination, I can warmly recommend to visit Nepal. You don't have to go on a climbing expedition which requires a lot of preparation, training, and experience, is expensive, and takes time (think of one to two months, including the acclimatization and the endless logistics).
Just go on a trekking, which is a supported multi day hike through the countryside or higher up, as technical as you want it to be. The sherpas and porters will take good care of you no matter how remote you are, food is delicious, people are friendly, and it's a poor country so they really do like the tourists. It's a once in a lifetime experience.