Congrats on your new snake and welcome to the forum...
I would feed tonight as scheduled. Can't hurt to offer. She may or may not eat, but I would offer anyway. If she refuses, wait a week and try again. No worries at all.
As for handling, I would wait at least a week. I personally like to wait until a new snake has accepted and eaten 3 consecutive meals with me before I do much handling. Until then, I keep handling to a minimum. This may be a bit over kill, but it works for me and my animals just fine.
Lastly, it's perfectly normal for a BP to explore a bit at night. She may be hungry, but she may just be exploring a bit. If she was active all day/night that would be cause for concern and probably mean something is off with your husbandry. Speaking of...
What are you running for equipment?
How are you heating the enclosure? How are you regulating your heat sources?
What's your humidity?
How are you reading temps and humidity?
Where are you measuring your temps?
Providing us with this info will help us help you make sure everything is good to go for your new snake.