Someone else mentioned Farm Bureau, and I have to agree with the comments. I've been with Farm Bureau for 25 years and they have always been Johnny on the spot when it comes to claims.
About 10 years ago I was driving down 93 through Nevada - straight long roads - just about dawn when a deer raced to intercept my truck - was going about 70. Needless to say I did not even find the body. Thankfully it did not push the radiator into the fan, so we tied the bumper to the body, tore off a fender liner and limped into Reno.
We went to the body shop and the guy said it would be about a week to get it done and we asked why - he replied that it takes insurance adjusters time to approve the claim. We said that we needed to be at a wedding, but he said he was sorry - the insurance company was the reason for so much time - he then foolishly said that if he had the approval he could get it done in a couple of days.
A phone call to our agent and we gave the body shop guy the phone - he had the approval on the spot without a Farm Bureau agent even seeing the damage), and then had to keep his word :-)
As to cost - I insure my home, all vehicles, and everything in a policy called Country Squire through Farm bureau, and the cost of my 2011 fiver for complete coverage is $232/year
One other thing about the claim - was nearly $7000 in damage and my rates did not go up