Many of the above ideas have surprised me.
Firstly, as many have said, I can't see what's wrong with drying your washing over radiators in the house. We used to have water containers on all radiators to prevent the air getting dry during the heating period - that was when we lived in a flat. An alternative method was to drape wet towels over them. Especially for babies and children with croup or asthma.
Nowadays we live in a house and have a wood-burning fire, which doesn't dehydrate the air so much, and hardly have the radiators on at all, anyway. I stand the washing on clothes horses in front of the fire when we go to bed, to use the remainder of the heat while the fire is dying down. Most of it is dry by the morning. (As I live in Germany, the only dryers available are the "German" sort, mentioned above)
I was also surprised to read that people are starting to dry the washing in the tumble dryer, then removing it to "finish" drying. If I did dry things in a combination of ways, then the other way round would seem the obvious way to me - hang it out first on the line, or on drying racks indoors if it's raining until only slightly damp and then finish it off in the tumble dryer to fluff it up.
Only towels, flannels and undies go in the dryer in our house, and they are dried from start to finish in there. Taking them in hand yet another time to hang them up seems too much work!
Also I consider the tumbler an alternative to ironing. In the dryer and then iron? again: too much work!
But, where possible, out in the garden is the best!