It's been a constant source of tension beteen us, this drying of laundry inside. From the last two winters, I have a method that's irritating and painful but it works. First, unless it's raining, you hang the washing on the line. Early. Because you will have put the first lot on before anything else. So depending on what else is going on, it might even be ready to hang out before you have breakfast. Which means that you can put the next lot on early too. If I was being really obsessive, I might have started a load before I went to bed, but normally not.
If it starts raining and the washing is drier than when you put it out, you bring it in. If it's still really wet, you only bring in those things you really need. The washing is bound to move along the dryness scale at some point. Once you bring it in, it needs to be sorted and hung. Over the rails in the back room doorways, on the side of the playpen that is a de facto drying rack. On the backs of chairs and in front of the heater. There's no point stuffing the drying space in front of the heater too full. This reduces its efficiency. More surface area increases efficiency. You need to turn and rotate items in front of the heater fairly constantly. It's a pain but makes best use of the most effective drying spot in the house. When things are dry, you put them in the basket for folding and move some new items in front of the heater. The items hanging above the doors also need to be rotated, and dry things removed. This increases the air flow.