Can anyone recommend a crypto-friendly online bank?

I'm looking to get a secondary checking account to fund BTC purchases. I'm buying a house in a few months and I don't want to risk my primary bank account being compromised in any way--or for anything to look weird during mortgage underwriting. I would be using mainstream sources (gdax, coinbase, etc). I'd like to be able to fund the new account from my existing bank account.

Can anyone recommend an online bank account that definitely doesn't freak out with transfers to exchanges? Ally, Simple, etc?

Thanks in advance.