[Imp]

With mines you can sell them a dummy admittedly that scenario no engineers but it does not matter your force is mobile & my tanks had ample smoke. Hit the mines & either let engineers work a couple of turns smoke & pull out. Probe the line to see how far it goes worst case I have no issues with advancing in the wrong direction for a turn or two when it comes to mines.

SPOILER
In this case not far you can go round it while the arty hits the now vacated minefield.

In my view the artillery system works well I do fall foul of overload on the occasion in early year games but not worried by it. D/S G/S are useful additional tools these are the ones you have covering your mines if defending with any Gold Spots positioned to relocate & hit again. Due to high adjust cost stick to infantry as targets not harassing vehicles.