Hi Miranda,
Thanks for visiting the Disney Parks Moms Panel with your question. I do love
Disney's Old Key West Resort. I love the laid-back feel of the resort, and the villas are so spacious. The cribs that come in a villa at Disney's Old Key West Resort are in fact Pack 'n Plays. You should find a Pack 'n Play in your villa when you arrive. If you do not, you can request one and one will be sent to your villa.
Since you said that your daughter is too big for a Pack 'n Play, you might want to consider renting a full-size crib for your stay. When my daughter was little, we would do this because we knew that she would sleep more soundly for a number of nights in a row in a crib rather than a Pack 'n Play. Kingdom Strollers is a company that can be found online at kingdomstrollers.com. This company rents strollers as well as cribs to guests at Walt Disney World. As a Disney Featured Provider, you can arrange with them to deliver a crib to Bell Services at your resort, who can then bring the crib to your villa once you arrive. When you leave, simply ask Bell Services to pick up the crib and Kingdom Strollers will get it from them.
I hope that this information is helpful for you, Miranda. Have a wonderful time planning your Walt Disney World vacation, and please do not hesitate to ask if you have any further questions.