Thanks for your replies. I forgot to come back and check the posts for comments.
I've used Priceline and have researched through Bidding for Travel, so I think I'll just wait and try getting 2 rooms through Priceline. In the meantime, I'll find something close and reserve 2 rooms as a backup plan, just in case. I can always cancel within the required deadline.
We did manage to get 2 rooms at Grand Californian for 3 nights, so we're really excited about that. This will be my first trip to DL since I was a kid, and that was a loooong time ago.
Thanks again for your suggestions, and we'll probably use your advice and take a taxi.