I don't blow dry mine. I wrap in a towel or bath robe - My Bubba could stay like that forever

- while Roxy is out of the towel fast and wants to dry herself on the towel or just run free.
I'm not sure I would recommend baby oil. I have used Sweet Almond Oil before, as I know others have. I really like Vellus Satin Cream also
http://www.vellus.com/
you could check with others about what proper oils they have found that work