So I have found there is a bug to rest, if you have certain weapons in your hand before resting you can turn your character while resting, If you can do this then you can very slowly move, walking pace (with the running animation).
I did some testing when you have staff, Bow, dual pistols in your hand you can move while resting.
Does NOT work with beam rifle, assault rifle, broad sword, black wand, nemesis staff.