The reasons that I keep USAA as my auto insurance (inherited from my grandfather), is because all my banking is through them, as well as my vehicle loan, grouping makes everything easier. Have you inquired as to why your rates went up? The insurer, at least in the state of Texas, by law has to give you reasoning for the increase, of course this is when you ask. Most people do not ask.
I also keep USAA because they have the highest PIP coverage in the industry, not to mention that they have vehicle replacement of FMV +20% of FMV, that`s pretty substantial. But dealing with any of their representatives is a PAIN IN THE ***.