No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
How long ago did you do the balance transfer from Chase to NFCU? If you didn't receive a notice indicating additional information was needed or that the balance transfer was not successful, then it may just mean that there's a timing difference and you'll have to wait.
I don't know about Chase but Navy Federal is good with balance transfers and usually have them completed in a week if they can send the receiving account an electronic payment as oppose to a physical check however, I personally would continue to pay at least the minimum amount due on the account you're paying off with the balance transfer if the payment due date is approaching. You can always request a refund of any credit balance from your creditors. There is a one or two day lag that I notice with Navy Federal, I didn't see the money deducted from my NFCU credit card account immediately after the request of the transfer was submitted but within 24/48 hours the balance was reduced.