How long are you going away for?
I have used cloth without needing to wash for 1 week away. simply took my 2 large wet bags and put the nappies in those, then washed when I got home. It was easy to do. only issue is my baby had the biggest suitcase
I've also used cloth whilst camping, that was only a weekend away though, you could do the same thing. I also handwashed the wet nappies and pegged them to the tent ropes to dry.
If you really want to use cloth whilst away it is very doable, just requires a bit of planning and a big suitcase