The fine-print reads
"Limit 1 offer per coupon, per household, Not good in combination with any other coupons or offers"
also at the bottom (well along the left) that the cashier must scan the barcode... if you print a few of those, they will all have the same barcode, they will be useless.
-edit-
I just looked at the group coupons, if they were sent out together then there is a good chance your idea will work