I've done 2 week holidays with cloth - and access to a washing machine. But I use flats so they didn't take up too much space and I was OK with washing every other day so I didn't need to take so many nappies. DS was 18m at that time too, so I wasn't changing him every two hours. I think 10 flat nappies, 10 liners and 2 covers were all I took.

I've also done holidays with disposables because cloth just wasn't practical, and if your suitcase won't cover cloth nappies and a dirty nappy bag then go for disposable.