Fortunately, most insurance companies use only use "soft inquiries" and do not look at a full credit report. There is a statistical correlation between your credit score and how likely you are to file a claim. Credit only comes into account with "hard inquiries", which happen when applying for loans. However, there are a few companies that do not use credit as a rating factor. We have a short article here
about credit and insurance, but they are hard to find. You can run these insurance quotes with no damage to your credit.