The only other concern I might have other than an hard drive would be the fans. Any moving pieces could have issues caused by vibrations, but fans are much more resilient than hard drives and I wouldn't personally worry about it.

> Have you found any solution to minimize the bouncing?

Any quality laptop bag/backpack has straps to keep the machine stationary and wearing it securely on your pack should reduce nearly all risk of damage short of a lot of moisture (rain) or impact damage (falling over onto your laptop or dropping it)

If it were me, I would go for it! Really low risk, IMO.