Pushing a sort of shopping cart finagled construction through the field would ‘likely’ work I’ve determined from looking at the designs for most mines, an Afghani fellow even designed a sort of 'disposable mine clearing tumble weed.'

Throwing rocks at it however, likely wouldn’t help much unless it was some old WWII design (S-Mine/Bouncing Bettys or the whacky Russian Wooden Mines.) I even saw a listing of some odd Italian mine that uses a ‘slow pressure locking fuse’ to avoid detonation by sudden shocks like line-charges so just blowing them away might not always work.
Just wait till someone adds the GPS-enabled, leaping, self-healing minefields that can summon autonimous backup.