I think you will be alright staying in Dade.
Did you complete the last Elite Rare Gear map? It’s the one that gives you a beanie and school bag at the end.
Here is how to farm Beanies.
Farm Elite Rare Gear map. It is hard to get them. You need to use a medium drop leader and a faction helper with medium drop lead. (Large is even better if you got it)
Run all of the faction drop leads as much as possible. Burn a lot of world cans. Don’t bother using Salvage tokens they are not as good as two medium drop leads. (You can try using gold ones, but prepare to be disappointed).
When Gear map pops up tell your faction mates to put up their Drop Leaders!
I remember getting beanies was really hard for me the first few times, but once you get past the hurdle you will be alright.
Scav camp is definitely one way to get them.
Elite item tokens is another.
Also they show up in supply depot sometimes.
We also get them as rewards for a lot of milestones that won’t be so challenging once you get better.