Last year I rented my car from Thrifty. I joinded their "Blue Chip" program right after I booked my rental. I picked up my luggage and caught the shuttle to where the keep their rental cars. I picked up my car and was on my way. The whole process from luggage pick up tp leaving the rental car center was about 20-25 minutes. What ever company you rent from join their fast break club before you get there. It really saves a lot of time.
I think it will be to hot day or night to rent a convertible during the convention.