That sounds like a good plan. She would probably have less stress with less full cage cleans. If she uses the sand bath as a potty then clean that out when necessary - could be 4 or 5 days, could be a week. And spot cleaning otherwise is just removing the odd handful of wee'd on substrate (it doesn't usually go down that far and there is dry substrate underneath, if you have a few inches depth of substrate in there). So you take a handful or two of wet, and add a couple of new handfuls of clean substrate and kind of mix it in a bit with what's underneath so it smells more familiar. If she uses a potty/sandbath and there are no wet areas, you don't even need to do much spot cleaning. I can go 2 or 3 months without doing a full cage clean. I empty his potty about every 5 days, clean it and refill it. I'll give his wheel a wipe maybe every couple of weeks (he doesn't wee in his wheel, but if they wee in the wheel it could do with being washed more often). Most of his toys don't really need cleaning except the odd plastic thing like his sputnik but usually a wipe with a damp cloth is enough.
The trick is not to clean everything at the same time as that removes all their familiar scent in the whole cage and causes them stress. So do the wheel at a different time to the toys and the substrate.
So depending on how much she wees in the cage, something like this
1) Potty/sandbath every 4 or 5 days - longer if it isn't wee'd in or you can ust scoop out the wet bit and add some more sand sometimes.
2) Wheel - when necessary but not at the same time as cleaning toys or substrate.
3) Toys - when necessary - they tend not to need cleaning often unless wee'd on or in and a wipe with a damp cloth could be ok.
4) Substrate - spot clean maybe once a week - taking out the odd handful, replacing it with new and mixing it in.
6) Nest - leave it unless it is wet. If it has been wee'd in remove the wet part but try to leave a bit behind so it smells familiar and put new strips of toilet paper out so she can rebuild it. You can check the nest maybe once a week as well.
With this kind of regime you could easily go a month or even two months between full cage cleans. It depends on her weeing habits. If she exclusively wee's in one place and a potty it will go a lot longer - maybe even 2 or 3 months. But if she has a few wee places or doesn't use a potty, then maybe once every 4 to 6 weeks.
The key thing I find is - the deeper the substrate, the less you throw away and the cage base stays clean. So with 4 or 5" of substrate, when you spot clean, the underneath bit is dry and the cage base is dry so doesn't need cleaning.
When you do a full cage clean as well, don't use anything scented. You can just wipe the cage base down with a damp cloth, or if it needs more than that, just soapy water (ie like washing up liquid in water), give it a good rinse to remove and residue and dry it well. Strong smells or perfumes also stress hamsters.
Poops aren't dirty or smelly - if there start to be a lot you can spot clean at bit.
House - leave it unless she wee's in it. Her hoard should be ok too unless she wees in her nest. The dried food is ok for quite a long time. It's a good idea to have a peek and make sure she hasn't hoarded anything fresh now and then that could go off, but usually they eat fresh stuff straight away.
Whether it helps with the hair loss or not I don't know, but it would definitely reduce any stress levels which would be good for her and less work for you