As others have said, if you cancel within 10 days you get your full deposit back without question. There is no controversy or doubt -- it's Florida law. And you don't owe the timeshare salesperson any apologies!
If you have
even the slightest doubt at this point, I would cancel.
Then, take you time and thoroughly research
DVC and determine if and how it would really work for your family. Yes, DVC is a great program for people who visit WDW every year, but the real question is whether or not it's the best place to put $12,000 of your money, plus the interest.
If you decide to purchase DVC, you owe it to yourself to consider resale, because there are considerable savings there.
With your visitation pattern, you might be fine with a very small contract and banking and borrowing to go once every three years. If you want BLT specifically, I see several 50-point BLT contracts for sale at the Timeshare Store for about $5000. Don't forget the listing prices are
asking prices, and you can negotiate from there. If you're not determined to buy BLT, there are many other options in the resale market that will save you even more money.
There is also the option of renting reservations from DVC owners. If you are going to WDW every other year or less frequently, that may be your best choice.
Lots of things to consider -- cancel and do your research carefully.