You may certainly ask for the policy. Is there more than one vehicle involved? Is this your uninsured or underinsured motorist endorsement? Do you have liens? What was the cause of the incident? Sure, this may be one of those rare and unique circumstances where you don't need a lawyer. However, chances are it is not. Most times you will net less without than with. Ask yourself why the insurance company doesn't want you to use a lawyer. At a minimum you owe it to yourself, expecialy...
Your attorney should promptly respond to all reasonable requests for communication. After all, the lawyer works for you. A qualified personal injury attorney is usually quite easy to find. Ask those you trust and respect for recommendations. You may terminate the relationship at any time. Usually best to let the new attorney handle.
If there is a court order regarding the withdrawal it will contain a time frame, if not then you have until your statute of limitations would expire. You may contact the insurance carrier, but if you are going to get a new attorney - and you almost always should - then don't. Good luck.
Hopefully, you get well soon. Contact local and qualified personal injury litigation counsel. The delay may be very detrimental to establishing your case. Proving the incident and establishing your loss are necessary elements.