Most "standard" insurance companies don't advertise based on no down payments or being able to pay as you go. This is because they believe it will attract risky clients.
Pay as you go is also a very rare policy to find in the insurance world, as most policies are6 to 12 months long.
Your best option is to look at non-standard companies (aka smaller companies) or speak with agents directly. Some agents might be more willing to work with you than others.