I'd go with an insurance company which does not have restrictions on certain breeds or breed mixes.
Since you have had a DNA test done and were informed by those people that your dog contains some akita ancestry, that's apparently the way it is, like it or not.
I never like to be anything other than 100% truthful when I'm buying liability insurance. Withholding the outcome of the DNA test to qualify for insurance would probably be easy to do. But if your dog did somehow became involved in an incident which resulted in civil or criminal legal action and the DNA test results, and your knowledge of them, came out, that might give the insurance company a way to wiggle out of covering you.
Buy your insurance from a company where you do not have to "forget" to mention the results of the DNA test you had done.
The next time you acquire a dog and you don't want to know the ancestry, don't have a DNA test done!