I see this following the Texas brand being 'Lone Star' so to follow this rubric is a good start. Including the colors Blue and White would be essential for me, but I am open to adding others like Red or Grey.
Our Ideas and Additional Information:
I could see there being a large standalone star (star of Texas) with the letters 'Lone Star First Choice' emblazoned on top whilst the word 'Insurance' on the bottom. Or perhaps something that conveys confidence, purity and trustworthiness with the backdrop of a Texas motif.