For latest info on Non chexsystems checking account, please welcome, National Bank of Texas.For your information, National Bank of Texas has branch locations in places such as Decatur, Fort Worth, Richland, and Benbrook and either does not use Chex Systems or is at least willing to overlook it in most instances.
So if you are near in those locations said,perhaps you might want to try these National Bank of Texas branches to see whether you can get an account for approval or not.
