A bad day at the flying field...
I would probably take him up on it. Sounds like a good deal. You can stop flutter problems on anything. Have an instructor help you set it up if you have questions.
One other piece of advice, when you are going down, and there is nothing you can do, chop the throttle, but don't stop flying the plane till after it hits the ground. With no power and other control inputs, you may slow it down some and save the engine. Doesn't always work, but it is worth a try.
Don't give up.