Don't know about damaging the fridge with dry ice but I bet it will freeze everything in there. When going elk hunting, we put the meat in very large coolers with dry ice and if it is not frozen when picked up from the butcher, within 1 1/2 days it is frozen solid. And that is with only 2-3 flat pieces of dry ice.
Bill, Maura & Rosie the rescued Boston Terrier
2016 Winnegbago Adventurer 38Q
2014 CR-V EX-L w/Nav & Blue Ox & Ready Brute Elite
NRA Endowment Life Member & FMCA #455593