I have two pieces of advice for you. That tub is huge for her. 41 qts is the largest I get and only for my adult females so they can thermoregulate as much as they want. A sweater box sized tub would be plenty big for her right now. A 28 is the biggest I would go. The other thing I would say is get rid of the pine branch. Pine is actually not recommend for BPs, as bedding, and I'm sure the sap/needles aren't good for them either (or wait, are those Christmas tree branches?). I suggest using fake plants only because you never know what plant is good or bad for them. A tub that large will be harder to keep the humidity and temps at the right levels. Change those two things and you will have the perfect set up, given that you have the right temps. Shorter/smaller tubs will only require a heat mat to keep the temps up, that tub would be just like a tank and need a heat lamp (unless your house is really hot).
Welcome to the site!
Pretty corn snake by the way!