If money's not an issue, then go with the better doctors who have a good safety record. That will reduce your risks significantly. What you should really worry about is losing about half a year of your life being confined to a wheelchair. What you should also worry about is whether being taller will make you happier. The question you should ask yourself is whether you're doing it for yourself or doing it for someone else.
If you're doing it for someone else, you might regret the decision, because you'll soon realize that it wasn't worth the $100k, and 6 months of pain/disability, and loss of flexibility and athleticism. All that stuff can be gained back, but at expense of your wasted youth - assuming that you do it during your prime years. And those prime years, you'll never get back once they're gone. I'd recommend that people either do LL when they're in their teens while they're still growing, so that they can heal faster. Or when their prime years are over, because life is more enjoyable when your legs are at 100% working condition.
You know what would make you happier? Spending that $100k to go on vacations and exploring the world. To go Asian countries where your height is a bit more average. Go travel and enjoy your life with your perfectly good working legs. It sucks being confined to a wheelchair. You feel like a prisoner of your own body. There's so many things I can't do without my legs.
Lastly, getting taller isn't going to magically make people like you more. That's why you should ask yourself if you're doing it for other people or for yourself. You'll be disappointed if you were doing it for other people. You might even regret it, because you put yourself through so much pain for the entertainment/pleasure of others. When you can truly stop caring about what others think of you, and you still want to do LL, then I'd say that you're ready. A lot of young people care too much about what others think of them - especially those who care so much about how many "likes" they get on social media. They haven't yet learned that other people only care about themselves mostly. If one or two people don't like you for your height, then just ignore them. The truth is that you can't get everyone to like you. If it's not your height that they don't like, it'd be something else. There's always something that someone will not like about you, and the sooner you learn to accept it, the sooner you can move on and be happy with who you are.