You do not. If you're frozen instead of cryopreserved, there is absolutely no chance that any simple procedure will be able to read out your mindstate.
However, there is still a chance[1] that a sufficiently smart intelligence would be able to time-reverse the ice damage and resurrect you that way, or at least extract enough data to construct a reasonable facsimile for your family and friends that's more than simply their memories. That might still be worth paying for, if you believe such intelligences will exist.
1: Pulling a number out of my ass, I'd say about 5% of the chance that vitrification works. I don't have much faith in the information-scattering abilities of ice crystals. I do, however, consider it possible that important data is stored in volatile form.
However, there is still a chance that a sufficiently smart intelligence would be able to time-reverse the ice damage
What does that sentence even mean?
In the past, the Cryonics Institute has had a policy that said that they would not accept anyone who is not a member. This has changed. The policy now is that someone who has full legal authority over your body can sign you up after you die. It costs $36,250 to be frozen if you are not signed up, which is more expensive. They also will not do anything until you have been on dry ice for 2 weeks after they have been contacted, so not being a member is more risky.
This is very important news for anyone who is currently cryocrastinating. It means that you can drastically increase your chances of survival without filling out any forms. All you have to do is tell a loved one you want to be frozen upon death, and that you would like them to take responsibility for making sure this happens. This takes literally 30 seconds. Do it now!
This news might also be a reason to not sign up right away, if you think something better (like radical life extension or uploading) will come along in your lifetime. We should discuss this in the comments.
Edit: The general consensus of this discussion is that this is a really bad reason not to sign up for cryonics.