If it were me....I would definitely skin the bear down the back and bring the hide home with me. There are a few measurements you can take off the bear that would be a great help for your taxidermist.
All measurements except A are taken after the bear is skinned.
"A" is from the tip of the nose to the front corner of the eye (not shown)
"B" is the neck circumference
"C" is the belly circumference
"D" is from tip of nose to base of tail (Most important in my opinion)