If the season has already started I don't think you should say you'll give up HS cheer.
Do you know people who cheer where you want to cheer? I used the fact that I can drive but being able to carpool could really help. Also if you make good friends, your dad doesn't necessarily have to come to every comp, someone else could just drive you and if it's overnight you could room with them if your dad's okay with it and they are (split the cost though) My coach drives our gym's van to comps and offered to drive me when my mom can't and that made my mom happy lol.
I feel like the most concerning thing for parents is cost, and having enough time for schoolwork. If you have a study hall you could remind him of that, and tell him you're willing to do HW/study in the car on the way to the gym if you have to. Just assure him you'll do whatever it takes to get your work done. For my mom it was more about me having a plan for how I would get everything done without being over tired or stressed.
Getting a job is a good idea but it will make it even harder to get everything done. But it depends on how much it costs and if you absolutely HAVE to get a job, try to get one where you can come in on the weekends. Being willing to give up things in other areas (not necessarily that are listable) can help, like I take less private lessons and try not to ask for as many clothes and such, oh and when I get like expensive cheer warmups and bags, they usually end up as Christmas gifts which helps with the costs b/c they then can spend less on xmas.
A list will help but not everything can really be put on a list, so I'd just sit down with him and explain what your plan is about getting everything done, tell him about the list, and just express to him how much you want to cheer.