Yeah, the remote lots are a good choice, my family used to do it. Lately I've been liking the idea of not having to do any driving after getting off a plane, so we've been using shuttle services which is also a good option depending on your preference.
And you might get lucky and get upgraded to a Town Car if one of their van drivers calls in sick
And, fyi, Prime Time's having a 10% off sale if you book by end of September.