Looking for Business Bank With Zero Balance Accounts, Low Fees, Online Banking

I am looking for a new business bank for a small business in the San Francisco Bay Area of California that has the following features:
- support for zero balance account (ZBA) structures
- low monthly fees for zero balance accounts
- online banking
- excellent security features, such as ability to designate a particular ZBA as incoming funds only (i.e., make it impossible to remove money from the account by a check)
- interest paid on business account balances without requiring purchase of certificates of deposit
I would like to find a way to support around 4 to 5 ZBAs and one parent account, with online banking, for about $150 total per month, including all checking writing fees and maybe up to 10 wires in and out total.
I have looked at Wells Fargo, but there proposal was at $300/month, not very competitive I thought. Our current bank's fees are getting outrageous, including such gems as $60 wire transfer fees and $150 account maintenance per zero balance account.
Are there any banks that might be able to meet the above requirements?

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