Chris, what is going to be the primary use of the stroller? Give me a little input into your life.
BABY JOGGER:
I think you would definitely enjoy the air tires on the Classic, but I'm not sure how happy you will be having to put it in your trunk everytime
You may also have to take the wheels off when doing so.
I am trying to remember, but someone bought my Double Classic locally, and they had a very small sedan. The stroller FIT, but I can't remember if they had to take the wheels off or not. In any case, the stroller, although it has a quick and easy fold, it would be heavy and cumbersome trying to put in the back of a small trunk.
The good thing about the Mini is that does have larger wheels which can do some offroad, ice, and snow. It is built on the same frame as the classic, but much much easier to shop with. Baby Jogger has been known for making their strollers very balanced, and what I mean by that is that the stroller is extremely easy to push and turn side to side. Even though the Mini has plastic wheels you aren't going to really be wrangling with it as much as other plastic wheeled strollers.
If your primary use is going to be outside (zoos, outdoor events, walking in the neighborhood, trails, park, etc...), and you will be occassionally shopping, then you will be fine with Baby Jogger Classic. If you primarily go shopping, stay on concrete, and occassionally go to outdoor events, or walk in the neighborhood, then the Mini will fit the bill, AND will be much easier for you to fold (read: lightweight compared to the Classic) and put in the back of your sedan.
Really, the only main difference between those two strollers is that the Classic has 12inch air tires.