I realize that not all state courts operate the same, but I work for a judge in Kentucky. Our grand jury meets only on Wednesdays for one month. I have never seen our judges not excuse someone from jury duty when they had a trip planned with air and hotel reservations, etc. Even without those reservations, I have never seen them make someone report when they have a vacation planned. As some have already said, complete the form, indicate that you have a vacation planned for the specific dates and asked to be excused for those dates. They may excuse you only for those dates, or they may defer your service to another month. The more you buck the system, the more trouble you will have getting anyone to cooperate with you.
In our court, if a juror fails to report on the first day, they are given the benefit of the doubt and a telephone call is made directing them to report the following day for qualification. If they continue to fail to report, they are summoned to the judge who may impose a fine (I've seen that happen). If they still refuse to cooperate, the sheriff will be sent to go get them!
I know jury duty is a pain to most people, but remember that a grand jury or a petit (trial) jury of ones peers "is a right of every American and the cornerstone of our judicial system. As a juror, you participate directly in the execution and application of our laws, and you guarantee the continuation of a basic democratic process that helps to assure American freedom" (taken from a thank you letter that my judge sends to each and every juror following their service). It is a very important service! If you go into it relaxed and open-minded, you may actually enjoy it.