Has she ever napped at daycare? I'm guessing that the 1:30 nap is too late for her, but if she's not sleeping at daycare, there's not much you can do about that. Then because the nap is late, she doesn't nap well, wakes still tired, and now you're stuck in an OT cycle. When you put her to bed at 6:30 - when did she wake? If she got more sleep than when you put her down at 7:10, then maybe do that early of a bedtime when she doesn't have a nap - if you can somehow get her a bit caught up on sleep, perhaps the routine will settle down a bit. I'm really at a loss - I'll see if someone else can have a look.