CJ does not do a credit check as far as I know. Generally, you are approved based on your income. The only draw back is that you have to use it in order for it to show up on your CR.
Most need to pay a down payment for 6 months then it becomes a regular store CC.
I have it but have never used it.
You could try for a CC like Tribute or Cortrustbank Mastercard. They do not give high limits and there are fees attached. Maybe even a secured CC.