I'm a guy and I clean diapers at least as often as my wife
We have a diaper sprayer which is basically just an accessory hose attachment that installs in 30 seconds. We brought it with us when we were travelling last july and it worked fine. The real trick, though, is that we use diaper liners. They're flushable lengths of paper (think dryer sheet) that keep the mess from coming into direct contact with the cloth. So you just shake it out over the toilet and likely won't even need to use the sprayer at all.
We use disposables overnight and when we go on excursions or to appointments. Cloth diapers involve a lot of bulk which isn't very convenient when travelling by public transit in NYC. If we're driving to visit a friend for the day, we'll stick with cloth.
We've never had a problem with sitters doing something so stupid as to try to flush a cloth diaper. But then again, all of our sitters (except 1) had prior experience with cloth. So maybe we got lucky?