Something about this "whole deer ground into hamburger and sausage" thing keeps making the "Danger Will Robinson" thing go off in the back of my mind. I've never known any hunter that ever did that.
If the meat had been purchased from a commercial "farm raised and processed" entity - it would have been in pounds - with a $ per pound rate. The person should know how many pounds they purchased, and what they paid for it.
If the person was a hunter who harvested and had the deer processed - they should know how many pounds they got. They would also have a game report card and an authorization number to possess it - in accordance with NC game laws.
If they received the meat as a gift from a hunter ... they should have some ideas as to how many pounds it was. They would, by NC law, have to retain in writing the name and contact info for the hunter that "gave" it to them for as long as they were in possession of any of the meat.
If they purchased the meat from a hunter - there are 3 crimes ... selling it, buying it, and possessing it. In this case the insurance company would be no more liable to pay off than if they had purchased a stolen car and it got stolen from them.
The question of how much a deer weighs is not that simple. How much does a human weigh? To guage the average weight of a deer you need to know the relative age, sex, when harvested, and in which county. With that info - you can go to
http://www.wildlife.state.nc.us/index.htm and contact a Wildlife Service Agent for the appropriate county and get an average weight for the deer harvested in that area - he/she can also probably help you guage the approximate yield (lbs of meat). If the person obtained the meat legally, they could provide all of this information.
Commercially farm raised and processed ground venison can go from $5-$7 per pound retail. But, your still missing the answer to the big question ... how many pounds?