The number 76 is not high. Many, many jurors are excused, and the court issues as many notices as it believes will be required to provide a qualified jury pool. You're correct in your assumption that a holiday week is not likely to be one with many trials -- but, it's also not a week where the court will issue many notices.
The only "sure-fire" means of avoiding jury duty is to show up, and when you are asked questions by the attorneys or judge in the case, you say something that is likely to disqualify you -- such as: "I think I've already made up my mind about the case." The court cannot put you on a jury panel, if you have unequivocally stated that you've already decided on the verdict.
Note: I'm not encouraging you to falsely testify as to your opinion in court. In fact, I think that jury duty is a very beneficial experience (having been on several juries myself). But, if you're betting on a high jury number to getting you out of serving jury duty, you are making a mistake, because that just won't work.
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