Release a male python that can only sire male pythons, and population collapse is inevitable.
https://www.sfwmd.gov/our-work/python-program
No idea how it actually works but shooting them where they are has to be tough to verify.
Then you ignore the noise factor which can scare off other pythons in the area.
Garret Galvin @fishingarrett has made a name for himself yoinking all sorts of critters in the wild but in particular seems to be targeting invasive pythons in the Everglades. He's very entertaining if you like nature stuff, he's like Steve Irwin's spiritual successor.
You have to make the carrier a mundane part of the cat's life. Leave it out randomly so the cat isn't associating it with unpleasantness, put snacks in it. Then it won't be an object that brings fear and anger.
Note: I know about this because there's a gun range near where I live by the lake, and the lake is now permanently off limits for swimming due to lead pollution.
In a recent conversation over breakfast I brought up lead poisoning and my dad was adamant (in his conspiratorial way) about how all of that lead exposure via handling lead and inhaling lead fumes didn't result in any significant health problems for us. I'm assuming he meant that we all weren't dead yet. He's 80 and a wreck. He's had all sorts of health issues include recent cancer remission. I'm 55 and I've had nerve issues since my teenage years which manifests itself as a noticeable tremor in my right hand that has got worse over time. I developed adult onset asthma in my late teens. I have a host of other health conditions as well. Who knows how much of that is tied back to lead exposure.
Physically wrestling pythons is not really dangerous if you know what you're doing.
Who knows, maybe the gun fire attracts other predators in the glades (alligators?).