I worked at a bank for several years, and I think you might be better off getting a VISA or Mastercard "gift card" if you'd prefer not to carry cash. Banks usually charge
hefty fees for Travelers Checks, and very few branches usually keep them in stock - you'll probably have to go to one of your bank's larger branches or the main office to get them.
Myself and a lot of the customers I dealt with at the bank also had problems making purchases with TC because a lot of people don't know what they are or look like, and get a little freaked out when you hand them one (especially in this day and age of counterfeit checks/money/everything). Although, we are talking about Disney here, so I doubt you'd run into this specific problem
My husband and I use Visa gift cards when we go to Disney to keep from overspending on souvenirs. I usually get a card for each of us with $300 on it...it's really nice because you get a balance every time you make a purchase. I have no idea where you bank, but I know Chase offers Visa gift cards for a fee of $3.50 and you can put up to $500 dollars on it. They will also replace the card if lost or stolen as long as you register the card online. Just an idea.