The hard part is to get the client on the phone.

Once you have them on the phone, you can not only better understand their problem but also demonstrate your skill and credibility in a way no resume or branding could.

At that point it's just a sales game - generally you'd avoid hourly rates and sell them a solution (see my other comment) which will maximize your effective hourly rate while being structured in a way that's very good value for the client. Hourly should be a last resort, at which point generally you'd rather have the client bounce, so you quote a high rate.