Yep! There used to be a product called a "signature loan" in the US which was an unsecured debt without a piece of plastic attached to it, at a rate materially lower than credit cards. These are very difficult to get these days; I was rejected three times, generally on a "You're asking for an amount of money that we'd find difficult to profitably underwrite and your business wouldn't qualify for it anyway; have a nice day; consolation prize we'd LOVE to give you a credit card" basis.
This is complicated by my business being international in character, where banks in two countries both think that perhaps a bank in the other would be more appropriate.
If you don't mind saying, did you ever considered other forms of debt, e.g. applying for a loan at the bank? If yes, what tanked it?