The following banks and credit unions offer excellent features and benefits. While we recommend them, they are not our top picks for the simple reason that they are not guaranteed banks. They have however helped a lot of people, and may be able to help you too.
Hawaii Community Federal Credit Union
We called and verified that they use Unicheck for new accounts.
They do sometimes open accounts for those reported to ChexSystems depending on the severity of the report.
CU Hawaii Federal Credit Union
CU Hawaii do run your Social Security Number through the TeleCheck system.
Kauai Community Federal Union
They use TeleCheck for checking and ID for savings accounts.