Gosh, I wish I could help you with the height question. I have had both strollers, but don't have both at my disposal right now where I could measure for you. I am going to guess they are the same in seat height. But, the Elite is going to give you more height room with the shade up because the hood is more "bubble" like.
Both strollers would really be just fine for you. The Elite and Classic are virtually on the same frame but the Elite has some extra very nice features, and of course is their newest model.
More cushion in fabric
Newer designed fabric
Built-in Parent organizer
Leg extender for baby
Access to basket under leg extender
Bubble hood
Magents that hold windows and side ventiliation (Classic just has velcro instead)
Has tether
Those are the only differences I can think of right now.
If you want to save some money and go with the Classic, you won't be disappointehttp://www.car-seat.org/newreply.php?do=postreply&t=79994d, and will suit your needs just fine