New to BPs; heating question

I just got my first ball python a few days ago. My husband was buying crickets at the local PetSmart and saw an ad about an 'aggressive' python up for adoption. I didn't plan to get it that day, but when I went in to look at it, it had a badly retained shed, and was in a completely dry tub. When I asked, they said they wouldn't soak it because it was too 'aggressive' afterwards.
So I ended up taking it home with me and getting the shed off (not an aggressive snake at all). I don't like picking up reptiles without having the setup ready beforehand, but she was already breathing hard and I figured she'd be better off in a not-ideal enclosure for a few days than keeping that shed on.
Right now, she's in a rubbermaid tub with a water dish, and a flowerpot hide with sphagnum moss inside. I heard they liked to have an area of high humidity, so I put that in there.

My question is mainly about heating. I'm about to order another thermostat to regulate a heat pad for her. I was wondering if adhesive UTHs are okay to use for plastic tubs as long as they are regulated? I'd like her long-term housing to be a typical rubbermaid type tub.
Also, what is a good hot spot temp for her? I've read several different recommendations...

My reptile room stays around 80-82 ambient temp during the day, and around 77 at night. So she's not freezing, but I know those temps are too low to keep her at long-term.

Welcome to the site!

UTH's when regulated properly are great for tubs, but as it sounds like you already know unregulated they get way too hot (130+ F)

Your BP needs a hot side temperature ranging from 88-92 and a cool side temperature between 78-82. No part of the cage should ever get above 95 or below 75.

Make sure that the cage doesn't stay too wet, ideally humidity in the tub will be between 40% - 60% and the substrate shouldn't be wet to the touch (damp is ok)

Make sure your substrate layer is 1/2" thick or less for your UTH to work properly.

If you have any other questions feel free to ask!

Lots of folks in the hobby use the adhesive UTH. As long as it is controlled by a thermostat that has a safety relay on it then it will be fine. I'm not sure what thermostat you're ordering but I reccomend the herpstat intro+. It has all the necessities.

Use the adhesive one, just DON'T remove the paper from the sticky part of it. It doesn't need to be stuck to the tub. If you affix it to the tub you may need to remove it later, and that's when it becomes a pain.