Billing insurance, eh? Here's how you do this. You need to look at this differently. It's not JUST 10lb of meat.
10 lbs doesn't matter. You didn't go to the lease to kill 10 pounds. You shot the whole animal. It's the same reason I don't charge per shingle, one shingle, 30 shingles, same price...they come in a package.
Travel time
ammo
fuel
anything, and i mean anything that went into your hunt if you had to go back out and replace that meat.
processing fees
taxes
Figure it up, send them a bill. They will negotiate it down, or try to, so be proud of your work.
This is why and how insurance pays me $600 to tarp a 5x5 leak. The 5$ tarp isn't the expensive part, it's the retail price of it, time, service charge, my hourly rate, going back out when the adjuster insists on seeing the underside for a photo op.....they can and do pay that without any question or complaint. You are doing the same thing, except with meat!