I log it as a top rope and just note in the comments that it was shunted. Top-roping is near enough what you are doing. None of the other selections seem applicable.
Sy.
Yes if you are top roping on a shunt I log it as top rope then either create a partner called 'Shunt' or leave a comment if you so wish. This is presuming you are top rope shunting and not lead solo shunting.