I would say to stay clear of washer/dryer combos. The evils of them have been drummed into my head since I was a kid (grandpa has an appliance/furniture store!), but now I know that they SUCK! They don't dry clothes!!!!!!!!
We had a condenser-type washer/dryer combo in our first apartment and it was total crap (even though it was brand new!). The clothes would be just as wet after two hours of drying as they were when they first went in!
I, like you, can't stand the thought of clothes being everywhere, but it's kind of a necessary evil here. We don't have a dryer in our current house, but we're getting one in the next couple of weeks because I can't begin to imagine an entire winter with clothes on all of the radiators. If we weren't getting one , though, I'd be limiting the drying to upstairs only (so i wouldn't have to look at the dripping clothes!) and probably only in the guest room.