You have several options to "experience what it feels like owning a high end car without having to subject myself to sales tax and depreciation"
You will not own the vehicle. If you were to buy it, drive it for a few months and sell it; you will definitely experience depreciation, sales taxes, plus the cost to register the vehicle in your state. Don't forget about insurance. Expensive cars are expensive to insure.
Leasing in the sense of a 24 month lease is out. It is too hard to end it early, and you would be "owning" it during the most expensive part of life of the car. Plus there are still taxes and insurance.
What you are looking for is a long term rental. Several of the car rental firms in the US will rent vehicles for months. Just like staying in a hotel they advertise the daily/weekly rate, and you have to ask about the monthly rate. These aren't a lease, they are rentals. It is lower than 30x the daily rate because they know that a typical car is not rented every day.
You still have to understand what insurance will cover. You will have the option of buying your own, getting it from the rental company, or using one through your credit card. But make sure that those that you purchase cover your situation.
The other option is to see if any of the car sharing services get you access to the vehicle class you want. I don't know if any do, but it is possible that ones near a large city do. That way you can only pay for the hours you actually need it.