Like DavidNY said, we need more information.
770 is a very good score. Too good for First Premier.
What is your debt to credit ratio? Meaning, how much of your student loans do you still owe relative to their original balances?
Are you currently employed?
Creditors will look at a lot of items such as length of credit, any negative info, your income and your balances with other creditors.
Based on your score alone I would say it is likely that you could be approved for a Chase Freedom
; however, your only other revolving credit history is with a really ghetto bank and a small credit line. You may want to try Capital One or possibly Citibank first. Then after 6 months to a year you could try for Chase.