I then proceeded to relog just to test what would happen. The result is that it simply vanishes.
After rain comes sun, hence my suggestion. Make the bushes simple liftable items after being dug up and when dropped, not instantly rooted again. While having a shovel equipped there should be 2 options whenever trying to drop the bush: Drop and Plant
Relevant pictures (no gif this time):
-Before relog

-After relog
