Agree with posters who mentioned limiting toys by doing a toy rotation. We did this before, using a totes for each week of the month. I divided all their toys between 4 totes and we only got one tote out for each week, so it wasn't everything out all at once. The hope was that they'd have renewed interest after not seeing a toy most of the month, and not having so many toys out overwhelming them. It definitely worked! I've gotten out of the habit lately, just been really busy. But I was actually just thinking about this last night, because they've been really bad about dumping the whole toy box out and not playing with the toys lately. They just dump it, play with like one toy, and then walk away. THen I have to get them to help me clean up the mess. I'd rather have a lot less out to deal with, and hopefully get them playing more again.
I'd try that and see if it helps. What about arts and crafts type things? Will she sit and color or paint? Or put together some artsy type things, like paper plate art projects, etc?