As a GT fan who loves the tradition of our Rambling Wreck, I think that's a beautiful car that you have there. Our tradition of the Rambling Wreck started as an alumni donation of a restored vehicle as well. It leads our team out onto the field at the beginning of the 1st and 2nd half and is used for many other functions as well. As an alumni of GT, you can reserve (and pay for the associated costs too, btw) the RW for your wedding. It is very commonly done and provides a very cool experience for the bride & groom to ride from the church to their reception in the rumble seat. They do not allow you to put shaving cream on it and tie cans to it though

.
Seriously, go with it...enjoy it and, who knows, maybe that will begin a whole new tradition for you guys as well.