My son has cooked a few wild turkeys in a deep fryer. I don't know all the temperature details but these few things I know:

He always uses peanut oil because it cooks at a higher temp without burning. Veg and Canola oil will burn at a lower temp.

The time is approx 3 min/pound. A 20 pound turkey should take just about one hr.
He does inject and cosely monitors internal temp by using a thermometer placed in the thigh area.

I will try to find out the oil temp and the temp of the turkey that indicates it is completely cooked. You also may be able to find this from others on this site or on the web.

One last thing....In every case the turkey was absolutely delicious. Crusty on the outside and moist and tender inside. Definitely the way to cook a turkey.