Claim you don't have a phone, and they'll find a solution.
They won't find a solution to your problem, when one is obvious: buy a phone.
They'll find a solution to their problem, which is you: apologize for losing you as a customer, and express a hope that you'll consider them again after you've bought a phone.
Unless you are a multimillionaire, they will tell you to go do business elsewhere, you're not worth their trouble.
What is that supposed to accomplish? The service providers that require a phone will require one whether you have one or not.