House insurance never covers anything vehicle related other than a bit of "spare parts" stored in the garage. What most people refer to "parking coverage" as is just the comprehensive (theft, hail, vandalism, etc.) portion of your policy. You simply delete the liability & collision portion and you're done. The only catch I can see in your situation is that if you own money on the car most financing contracts stipulate that you must carry full coverage at all times. You may want to contact your lender to ask for permission. A lot of lenders never follow up on that stuff but I've seen some do it in the past and apply ugly penalties.
"Masked Bandit is a gateway drug for frugal spending." - Unknown303