I did this.
Smoker temps
First hour at 125 degrees
Second hour at 145 degrees
Third hour at 155 degrees
Forth hour till finished 170-173 degrees.
USDA and food safety folks will always say go to 160 degrees, most all wild game cooks pull theirs at 152 degrees, I go 154-157 degrees internal temp.
I then throw in an ice bath for 10-20 minutes.