I think you're doing great. You say, though, that she appears to get overtired, so I would lessen her A time, and begin your nap winddown about 15 mins before you want her to be placed down for the nap. At 8 weeks, I would start the winddown after about 1-1.25 hrs of A time. However, some babies can handle more time.
If you were to feed her when she wakes at 5:30, and treat it like a night waking, do you think she would go back to sleep? Then, you could wake her at the time you want the day to start. Even though she had a good nap first thing in the morning, the rest of the naps are on the short side. I would just watch for her sleepy cues to see if the A time is too long. Is she able to fall asleep independently? When she wakes after 45 mins, have you tried using shh/pat to resettle her?
If heat is a problem, you can even swaddle her with no clothing during the day. It seems from what you said that the swaddle really helps her, so I would find a way to use it. It is also recommended to wake her for feeds, and at her age 3-3.5 hrs is a good time limit. Naps should also be limited to 2 hrs a time IMHO.
Let me know if we can help any further.