Why don't you get the case expunged if the statute of limitations has run? You should consult with a lawyer about that.
If it asks if you have been arrested, you have. You have not been convicted nor did the arrest lead to deferred adjudication or probation. You entered into a contract to do certain things for a dismissal. You did not even plead guilty.
Although I have answered the question to try to help you, you should consult with a lawyer in your area in person on the matter. In addition, my answer does not establish an attorney-client relationship between us.
The answer is within the details- you were charged but the charges were dismissed and not because of a deferred adjudication probation. If you can, you should look into whether an expungement or non-disclosure is available to you to resolve this matter for the future.
Good luck and feel free to contact me to discuss your options