The Appeal Process, unfortunately, is the only way you could possibly recover your account. Sorry.
Since all you used was a Third Party IV Calculator, odds are you didn't do enough to lose your appeal. Just be honest and up front in the process, and if what you say is true, then you might get your account back.
If you don't want to bother, you could always start a new account. You could even buy one online from a legitimate user, ensuring the Account isn't and won't be banned.