Benjen Stark/Other

I was reading the Last Hearth when I found out Benjen has blue grey eyes which got me thinking where is he currently. He is described as gaunt and sharp featured which is how the WW who kill Waymer are depicted. Is it beyond the realm of possibility that benjen could be with his people right now? I am speaking of the white walkers in the Land of always winter. Perhaps benjen is not dead or missing but doing something similar to what Jon does with the wildlings. Could benjen and even Jon be stark/Other hybrids and be able to decipher what the WW want ? I know it sounds crazy but maybe Lyarra was abducted and died in childbirth having an icy child just like the little girl in Martin's Ice Dragon book? Many people speculate on a connection between the Starks and the white walkers in the distant past like old Nan but what if the truth is closer than we think. Feel free to destroy my theory if you hate it but give me points for original thinking please. I just have a hunch that the white walkers are not a mindless force of evil as I don't think Martin is writing a kids book. Any takers?