I agree with Perna - that bit is odd. A 27 year old woman is expected to make judgment on her own safety and on her dating material's quality herself. Also, he is right in wondering about the parents - it is odd that an American woman who is already 27 needs to run a guy by her parents first. You wrote "well, how will WE find out if her never comes" - in that language, you referred to you and your parents jointly as WE. There is nothing wrong in making such calls jointly with your parents, but it comes off as odd because it does not comport with the cultural expectations. According to current cultural standards, you are not supposed to be a WE with your parents at your age. You are supposed to make the call yourself - it is fine if you reach out to get the wisdom of the crowds online to HELP you make the call, but ultimately you should be the one MAKING the call - and not your parents, no matter how overprotective.

So while overall he sounds very dubious, his not being delighted to obtain clearance from your parents first sounds normal. Maybe in India it would be OK for him to obtain clearance from your parents, but in America this is odd.

Also, to the extent that the clearance from parents is necessary to assure safety, and assuring safety is necessary due to the nature of the plans (going camping together with someone can be dangerous, so yes, objectively, you need an assurance of safety), the best thing to do is to change the plans. In other words, as people have already suggested, meet with him in a public place. Just as other people meet their dates - in public places. Without obtaining clearance from parents. Do not plan to go camping until you feel comfortable. If he has to make two trips, so be it.

A bigger question is to you, though - why did you let him monopolize your attention span? OK, he keeps postponing his visits - fine; you still need to have your own life. The problem is not so much with him, but with you - you put your life on hold pending something from him. Not the best way to enjoy life.