Hi Dexter and welcome!
I am both airborne and contact sensitive to peanuts, so I completely understand your hesitation with working a job where you have to handle food. That said, as a teenager I worked at a grocery store as a checker with minimal problems. The only problem I had was when handling the bagged candies sometimes my hands would itch and swell. I was always very conscious to NOT touch my face while working. I also did not eat or drink while there. My managers were aware of my allergy and allowed me time to wash my hands any time they started to itch. It worked for me.
Currently, my peanut allergic DS is working at a grocery store. He gets hives and his neck often becomes red while he's there. His store has bulk nuts and nut flours and grind your own PB, etc. which was not something I had to deal with back in the day. So far, DS's reactions have not progressed past the skin symptoms, so he chooses to keep working there even though I have encouraged him to explore other options. DS's managers are understanding and he is never asked to work on the bulk and grind your own aisles. He follows the same precautions as I did to avoid accidental ingestion which I think helps. He always has his EpiPens with him and will not hesitate to speak up if he feels unsafe. Since DS's reactions are on skin that isn't actually touching the food, I don't think wearing gloves would help him. Taking a daily antihistamine does seem to help a bit.
If you think handling the packaged foods is a risk with your level of sensitivity, maybe you can come up with a safer alternative. Think about all the different types of businesses in your area and maybe something will come to mind. Yard work? Helping with filing in a business office? Answering phones? Babysitting or working at an after school daycare? Tutoring? Cleaning? Do you know anyone who owns a business? Companion/helper for an elderly or disabled person?
Good luck!