I’ve tried to do it with the Miltech 47, but it doesn’t have brakes on the rear. That’s what I’ve wanted to do since I saw videos of someone extracting a team in Afghanistan that way. It’s why it was the first thing I tested in Blackbird 47, and had hoped one of the missions had us do exactly that. I’m not even sure that the CH-47 is used in any of the rescue type missions though.
Since my initial post, I have made it to where the original poster was talking about regarding the Rescue missions, and I 125% 
have the same frustration with the missions. Although, it doesn’t matter to me temporarily, as I’m now locked out of the game at the 60% thing. I can’t play any missions at all.
Before I was locked out of the game, I tried rescuing someone in the 125 by resting the front of my skids against the cliff in a semi hover. The game wouldn’t let me do it. It goes to a cut scene and I lost all control of the helicopter. I ended up helpless and watched my helicopter slide down the mountain in failure before the game gave me control of the helicopter back. I swung back around and saw the poor guy standing by himself on the side of the mountain probably saying “WTF”. If it wasn’t for the cutscene, the poor simulated victim would have survived his predicament.