There's a great thread about this subject here:
Near the bottom someone discusses cottonseed oil. There is also a discussion of a "two-hour turkey" which you should consider. I cook a chicken like this weekly and it's fantastic. Just make sure to have it in a deep pan or otherwise account for the fact that, due to the high temperature, a lot of splattering occurs as the fat and juices drip into the pan.
Thank you for the thread link.
I would think any kind of oil except peanut oil would be suitable.
Our directory is highlights our favorite products for people with peanut and nut allergies.