I know you're not the momma, but that's exactly what my Momma told me to do after they ate her prized Confederate Roses.
Hell hath no fury like a Southern Momma gardener against critters that eat the stuff they grew!
Check out trained mink and dogs wiping out infestation of 1400 rats on a large farm. Unreal.
The minks go into the rat holes and... kill them tossing them out to the dogs. Never seen such a thing.
Prior poster suggesting dry ice (CO2) would be more humane and kill most under ground suitable for quick burial and no mess for local pets to get into.