A few considerations, having spent a lot of my flying career in and around the area that you want to fly.
In the icing season you will need de-ice or you won't be going. If you have flexibility in your schedule and can accept this uncertainty for about 4-6 months out of the year then that's fine. If not, you're basically looking at a de-iced plane of some sort, which will probably put you towards a twin, and be nowhere near "cheap." If you're talking about doing this weekly, you want to minimize your flight time so you can spend more time with your family. A 150 won't help with this, and a 40 kt headwind (which happens frequently) will suddenly make the car faster.
To my mind, your best option is a Lancair 320/360. You'll be able to do the trip in about 90 minutes block time on 8-10 GPH. It probably gets about the same mileage as your car. It's experimental so that lowers a lot of parts costs and you can work on it yourself. Since you're going 190-200 kts, that means that a 40 kt headwind turns the 90 minute trip into a 110 minute trip. No big deal.
But keep in mind that you will need an instrument rating and a good portion of the year when there's ice in the forecast, you just won't be going. You'll also need to get some good training in the plane.