How can I convince my parents to let me stay home while they bring my grandma on vacation?

My grandma wants my dad to drive her to Biloxi for vacation, with my mom, me and my sister. We’ll be gone for a week. The problem is, I really don’t want to go. I just really hate Biloxi and I hate incredibly long car rides. I’m not a vacation person. And I know that I don’t want to go with them. My grandma says it’s fine if I stay home, but my parents won’t let me, because they’re scared I’ll get hurt if some worst case scenario comes up. It’s not a case of I haven’t proven myself responsible enough or I can’t take care of myself, they know and trust me to that point already (hard work believe me), but they’re afraid of a robber hurting me, or I might get kidnapped, etc. They ‘re all very paranoid reasons, and the chances of this stuff happening are slim to none. We live in a very good neighborhood. It’s just frustrating because they’ve left me home alone many times since I turned thirteen three years ago, and I have a lot of summer things to do with friends, from studying to just hanging out. For example, I have a study group for SAT’s every week as well and I don’t want to miss that. I know I should probably value this family bonding time, but I know I won’t enjoy it and will just be really mopey. I don’t want to ruin my grandma’s enjoyment (because she’s the only one who benefits to be honest) through my bad vibes. I just need advice on how to convince my parents I can stay home, without being disrespectful or hurtful. It’s difficult because their paranoia itself is unreasonable, but it makes sense that as my parents they would be worried about me.