Feeling your pain OP! It's amazing how very quickly a mountain of laundry can feel very overwhelming.
I've found over time, and with much experimenting, that, with all the best will in the world, I can't get away without doing at least one load of washing per day.
I found my sweet spot though! And I'm sure you will find yours. If it helps, I will tell you mine.
I deliberately have a laundry basket in every person's bedroom that is small enough to put together for one massive load. The downside is there is always a full up laundry bin at the end of the day in every person's bedroom, but the plus side is that I can collect it all up and do it in one fell swoop.
Added to this, I have a designated day where bedding is washed (that makes it two washes that day) and another one for towels, if it has been impossible to do towels in with the main daily wash. Sometimes it's possible and other times it's not. Rather than waste my life sorting colours I use a colourcatcher if I'm concerned. Other times, I know items are all dark coloured and won't run so I don't bother. I'll make sure whites are washed entirely alone though (which is only my bed, underwear and school shirts) because I don't trust colourcatchers to preserve bright white, and I must admit, I do like them to remain a crisp, white colour!
Every now, and then, like in the middle of summer, when everyone is wearing either swim stuff or light, shorts and T-shirts only, daily washes can become alternate daily washes, but obviously in the winter. This is not possible. To cut cost of tumble drying. I have an airer flung over the banister at the top of the stairs to hold any items that can't be tumble dried. I'm a bit of a sucker when it comes to soft towels. I always tumble dry towels and the same with school uniform shirts because I don't want to iron them.
I find it makes a huge difference if I shake clothes out and flatten them with my hands when they're hanging on the airer. They never need ironing after that, unless they have that awful type of linen that crinkles all the time.
I've recently begun hanging laundry up in groups of whom it belongs to, which sounds really regimented, but when you are grabbing dry clothes off the rails in a hurry, cuts the sorting down hugely. It also doesn't take a lot of skill to put child A clothes at the start of the airer and child B clothes at the opposite end of the airer and adult clothes in the centre, so you're naturally sorting them as you go without even meaning to.