Leaving reception

Hi everyone, my fiancé and I are thinking of having a vintage car to take us back to our hotel after the reception, which we've seen some weddings do, but are either being told that companies don't do post-reception transport, or are quoting £300+ for an hour, which seems excessive. I don't want to ask any friends/family to drive us as presumably they'd want to have a drink at the reception, and obviously having the car there through the whole reception hikes the price up way over our budget. Our ceremony and reception are at the same venue and I'll be getting ready there so there's not really an opportunity to have a car earlier instead.
Anybody have any suggestions?