So i used to have a coinbase account until i closed it and i closed it due to a fear that if an attack happened on coinbase that they could transfer funds from my bank account. Now i still would like to buy bitcoins but i can't seem to find a decent way to do that without a bank transfer. Should i just trust coinbase with my bank information? Say an unathorized wire happened would i be screwed or would the bank cover me? What is the best way to go about this and what are your experiences?

For reference i live in the US and use a major US bank.