I have to agree work-study is really limited to very low income students since on campus jobs are limited at some schools.
The federal Work-study funds are not a large amount and are distributed by the financial aid office. You work at a campus job and you get paid as you work. It’s not meant to be a large amount of money; you work may be 5, 10 or 15 hours per week. Just part-time limited work.
A lot of the work-study jobs are related to food. You may be working in one of the campus food eateries, busing tables and moving food trays. The hours may not be at great times either; they tell you when they have slots.
Funds are meant to cover your small incidentals like shampoo, paper supplies, etc.
Since you said that you would be full pay, why would you need a work study job? it’s going to give you maybe $2 to $3000 per year, overall? That’s not a whole lot of money.