I'm glad you're getting the black-out blinds - I think I need to get those too! My 4-yo has been getting up around 5:30 a.m. off and on for the past week!!!
For the nap sleep cycle, I remember reading in one of Tracy's books to go in before the sleep cycle ends and put your hand on her back. So if she's getting up at the same time from nap each time, you might try that. It might only work for younger kids though - I think my dd would just get excited I was there and want to get up!
They definitely still need the hours! When my dd naps, she naps at least 2 1/2 hours, usually more. I think it's closer to three when their sleep needs wane.
Finally, if you think she needs more attention and cuddles, why not add it to your schedule? When the baby is sleeping, read her a book or 2 while she's sitting close or on your nap, or whatever you can think of that would make her feel special. I'm sure you're doing what you can, but it's such a whirlwind with a new baby!