To me this is an idyllic experience which I haven't yet managed to replicate without camping. The site was right behind me. Found it by chance and decided to end the day there. Had enough time to find a bottle of wine and were joint by some Polish cyclist who moved 200m down stream for the same isolation experience but were great fun to share a bottle wine with at a camp fire for dinner. Priceless.
Beats the shit out of finding the public bathhouse in shitsville Moron Mongolia in the dark.
But going back on track like turbo, you don't need a 2 man tent if you're on your own. You should be able to get your mat, sleeping bag and bivi or single man tent in a roll (closure) bag. I stuff both the sleeping bag and tent. Keep the outer separate for when it's wet. This should only weight about 5-6kg and can make a nice back rest for long ride on the slab, but close to COG for riding off road.
It's just plain awesome to go hard off the beaten track, through beautiful country with the knowledge that you've got everything you need to stop and enjoy the surrounds when and wherever you want getting away from the concrete jungle and pollution.
But that's just me. 
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