Don't bank with chase
US citizens have no rights to banking even as we the taxpayers (contray to the feds latest claims ) bear all the risk in insuring and bailing the banks out when they inevitably screw up
FDIC insurance should require banks to open accounts for citizens unless there is clear financial reasons to refuse ( ie fraud, or other criminal acts)
Until then the only thing you can do is
1. Use credit unions. They are member owned and are generally better but not always
2. Spread you money out. Even if you do not have a lot. Have more then 1 account at different place. Have a rent account. A groceries account etc. It sucks but better that then being locked out of all your money
3. Keep some cash on hand