What if you have passengers in the vehicle without health insurance?
God forbid you are in a bad accident, no longer able to work, need lifetime care or even care for a short period of time. More or less your Insurance company is not going to pay for your loss of income or possibly a lifetime loss of income ect ... ect.
Health Ins will get you to a "living state" then you are on your own with no support that you may need or that of anyone in your vehicle who may sue you for care as well.
All states have different insurance regulations/no fault ect. So impossible to say, it looks like you are really aware of your state regulations as I just saw your comment on "no fault" It really just depends if you want to roll the dice, the reason "uninsured" and underinsured is so expensive is a tremendous amount of claims are paid on that coverage which in itself tells a story. My state is scary with the amount of under insured and people without insurance and carry the same amount on both of those as I do my liability. Off the top of my head that is 250/500 for all three categories or 300/500.
Anyway, what caught my eye is you shop around every 6 months or so, that is excellent. I have been doing that for over a decade now and saved boat loads of money as you may know, called insurance rate creep by staying with any company too long. I remember having Geico for a long periods of times, on and off going back decades, I might still have them on my motorcycle, like anything a cool of the dice, they dont come close to what I pay on my cars/truck.
Try this one, I have been using esurance for years now on my car and truck, no one comes close but we all know its a roll of the dice depending on where you live, credit score ect. Anyway, if you haven't tried it, check it out. For the life of me I cant find a lower rate anyplace and drives me nuts! I constantly check rates online, Ill cancel a policy at anytime even a few weeks into a new policy if I find a cheaper rate.
Esurance is owned by Allstate, its Allstate's way of grabbing the lower profit internet customer while maintaining their traditional model. (my point of view)
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www.esurance.com
Ill be curious if you have tried them.