If you don't want to hang up your plow truck in deep snow one trick that works is to raise the plow some 3-4 inches and plow off the top layer later plowing away the remainder.
This trick works quite well with slimmer tires while fat ones will float and pack down the snow.
I once needed to clear customers after a major dumping that was higher than my plow blade and that method saved my hide.
Fortunately it was the last storm that season otherwise I'd have been in deep trouble
Most drives were downhill so once turned around I pushed the banks off to the sides going uphill as I had my weight and gravity to unstick me going backwards.
Fortunately that dumping was fairly dry snow.
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Today's storm (no longer contract and just do my drive with a 20HP gear drive CUT) is wet and heavy and my blower can't handle a full load so I am using the same technique, raising the blower to blow away the top layer with second pass for the lower remainder.
Next passes I simply use half widths that the blower handles nicely.