The recision period is Florida law to protect consumers in any real estate transaction. With ANY transaction of this size, ANY product, ANY seller, my advice to anyone who has even the slightest doubt would be to rescind.
If you rescind, you can take your time, do more research, think it over, etc, etc. until you feel sure of what you are doing -- one way or the other. If you decide timeshares are for you, and DVC meets your needs, you'll be much more comfortable and you can re-purchase. If not, you'll know you made the right choice.
If you hesitate, you may find yourself locked into a 30-50 year financial committment for a product you don't really understand, and which may not be the best vacation alternative for your family.