If you are looking to experience nature, one of the best things you can do is to get out on the lake and enjoy it. You can go boating in a paddle boat or a yacht, which would include someone to run the boat for you. Also, you can go on any number of hikes or retreats that allow you to sleep outside or in the woods.
For example, one of the best places to stay at if you want to experience nature is Ayar Jungle Camp, which has the options for cottages, log huts, machaans and tents. Not only will you be able to sleep outside, but you will also be able to experience the area around it during the day.