I would not be interested in lowering fees - as someone who sends but does not collect payments - because of the risk of fraud and the unknown risk of fraud.
Because I don’t carry the cost (your customers do), I would not be interested in doing something that appears to reduce my protections. I think bank transfers, by virtue of being debits from my account instead of essential a PO, are much higher risk on me and my card.
I would almost always use cc instead of a bank transfer for this reason. Unless I knew a company that I bought from was paying crazy fees after I had established a relationship. If my sales POC from $vendor asked me personally to save them some cash, I might consider it.
Grain of salt, but it sounds like you are trying to serve a two sided marketplace and have put all of your focus on one side - because who wouldn’t like to save on the extortionate cc fee?
Yet you need to convince the customer to put their info in. Why would they? What can you offer me to take that risk?