I've been using the Kolpin cases on my quads since 1993/94 and have carried scoped rifles in them for appr 7000 - 8000 hard miles I have never had an issue with the scope being knocked out from this kind of riding.
As you can see from my earlier post with the picture of my ATV I mount the case on the front rack.
Once about 10 years ago while going thru an extra deep cross ditch I touched the front of the case onto the ground in front of me resulting in the case/rifle breaking off and catapulting the case/rifle into the ground.
The rifle was a Sako Hunter IV in 375 H&H with a Leupold Vari X 11 3-9X40mm scope when I removed it from the case and fired a shot the rifle was still perfectly sighted in.
About 2 years ago I was going up a steep cross ditch with a 12" dia log hidden behind a branch at the top when the ATV started to flip over backwards I bailed the crash of my quad busting up as it hit the ground upside down was terrible.
I was able to flip it up right and straighten out the handle bars enough to ride it out but the Kolpin case had completely snapped off when I took the rifle out the rear Leupold scope base screw had snapped resulting in the rear scope ring no longer being attached to the base.
The scope was a Leupold VX111 4.5-14X40mm nothing happened to the scope and I am using it on that rifle still after replacing the screw.
Yep I'd totally recommend Kolpin cases they have carried my rifles safely for miles and saved a couple from being busted up.