Instead mention your Sixth Amendment right to a lawyer, and tell the police that you want a lawyer. Is that honest? Not entirely, because it sounds like you are implying that you might be willing to talk to them after a lawyer shows up, and of course that is not true, and your lawyer will not agree to that. But a little dishonesty is a small price to pay to defend your freedom and your constitutional rights, especially when dealing with police officers who will lie to you until the sun goes down.
James Duane in You Have the Right to Remain Innocent