Re: problem with putting to bed
Then I would try to cut the nap down to like 20 minutes or something. She's over tired at home because she is going to bed late. Then going to bed late is causing her to need to nap. It's just the cycle she is in. You need to get into a better routine so she is going to bed earlier, getting good sleep and perhaps no nap, or just a short nap. I used to call those "get the edge off nap". But if she is staying up late and you don't want her to, then you need to do something about the nap.
When my daughter first gave up naps, she, too, would be extremely tired around 5-6:00. I just had to help her get over that hump (play with her, go outside, etc) and eventually she caught a second wind and was able to make it to bedtime. She feel asleep as soon as her head hit the pillow. I would rather deal with no napping to have an easy and earlier bedtime. But if the daycare requires a nap, then you'll just have to deal with a later bedtime I suppose.
Just FYI...I have a four year old (and they are all different), but she goes to bed 8:15ish and sleeps until 7:00-7:30. She takes no nap. If she did, then she would most likely go to bed around 10 or so and still wake at the same time in the morning. I prefer the early bedtime!!!!!!!!