New to BP have a few questions

[Caali]

I am in the deep south, where it is 100% humidity outside all summer. It is 50-60% in my house most of the summer. I keep it down for my beardie with his basking light and the leopard has a CHE, but I have no idea how i would even do something like that with this size tub. Should I try a smaller water dish maybe?

Yes that can help or maybe you can move the water dish to a cooler spot. In an extreme case (yours is not extreme yet) you can also change to Aspen bedding.
I used to have the same problem with humidity until I got CHEs (I don't use heat mats) which are humidity killers. I've gone from trying to lower the humidity to struggling to keep it high enough.

I am definitely not handling her. I didn't want to Sunday but felt like I had to shift things to get it right.

Ok
I get your point and since you don't handle her, things should be fine.

thanks for the feeding chart, its very helpful! Saturday will be a week since I got her. I will attempt to feed then. Fingers crossed she takes it!

No problem!
Don't worry too much. Even if she doesn't take it the first time, you don't have to worry. It can happen.
My boy just finished his first fast of two months (I've had him for a year) and I would lie if I said that I didn't feel anxious because of his refusal to eat or even look at the food. Most of the time it's just a waiting game.
But I hope she eats for you.

I plan to feed her in her tub. Based on what I read it seems like not moving anything and using togs to place the mouse at the entrance of her hide, moving it a little to simulate life is the best course??

Everyone has their own feeding ritual. You have to see what works for you and your snake.
99% of snake owners (including myself) will tell you to use tongs and to feed the snake in it's enclosure. So that's definitely a good start. By the way I would also feed at night.
If she in her hide, I'd start wiggling the mouse 4 to 6 inches from her hide. Be sure to make gentle movements. If she smells the mouse, she should come out. She will go into striking position (the S form) and will slowly get closer to the mouse before striking and wrapping around it. Some people suggest to tug the mouse a bit to add realism but I never found that to be helpful. If you do that, your snake will tighten her grasp.
One thing that I wish someone would have told me when I fed my BP for the first time (he was also only 100g and tiny) is that young BPs do not always have the best aim. So your BP might miss the mouse a few times before she finally gets it. But if she is willing to try again, it's fine even if she misses.